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Aug 24, 12:50 PM
#1
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May 2018
56
In the latest episode discussion, I saw a few comments mentioning how the science kingdom members could build a fortress in the limited timespan Stanley would arrive so I made some calculations to see who really arrives at Araxá first. Let us start with the easier one, Stanley.


Note: The image shows the starting point slightly off, an extra 150-200 km.

Stanley's Route:

Perseus is a large wooden ship with an oil engine. Stanley boasted about its speed during the chase. Based on its technological level and due to the ship always going against a current, be it the Peru Current or the rivers Paraná and Paranaiba, and assuming that the ship goes at maximum speed without ever stopping, I generously take its speed to be approximately 16 knots which will be 30 km/h (18.641 mph) for convenience. So, its speed per day is 24*30=720 km/d. As seen above the distance Stanley's team travels is around 12200 km (~7580 miles). So 12200 km divided by 720 km/d gives us 16.94 days. It takes Stanley 17 days to arrive at Araxá.


Note: The starting point of Senku will be accepted as the first place they go on a river connecting with the Amazon.


Senku's Route:

Due to the different conditions throughout their travel, I divide their route into three parts.

Part 1:

The science kingdom doesn't possess an engine boat at this stage so they rely on the the speed of Amazon and their rowing capabilities. The average flow speed of the Amazon river is 2.4 km/h (1.5 mph) and I assume their maximum rowing speed to be 3.6 km/h (~2.2 mph) so that makes around 6 km/h until Manaus, which is about 2811 km (~1747 miles). 2811/24*6=19.52. So it takes 19 and a half days for the science kingdom member to reach Manaus.

Part 2:

At this stage, they have a stealth boat presumably with a wood gas engine they had on the bikes before, which isn't really all that powerful. So I'll assume its max speed to be 10 knots which is 18.52 km/h (~11.5 mph). So their speed per day is 444 km/d. The distance from Manaus to São Paulo (where I assume they landed) is around 5760 km (~3579 miles). 5760/444=12.97. It takes them 13 days for them to reach São Paulo from Manaus.

Part 3:

After landing around São Paulo, they continue their way on bikes. Although it is nearly impossible due to the hilly and forested terrains of São Paulo and Minas Gerais, I will assume their average speed to be 20 km/h (~12.4 mph). They have a distance of around 530 km (~329 miles) to cover so that makes 530/24*20=1.104. This final part of the route to Araxá takes a little over a day.


Therefore, in total, that makes 19+13+1=33 days only for the route. 33 days don't include the time they spent on the vulcanization of the rubber boots, the making of the rafts, the exploration of the pyramid of Medusas, the construction of their stealth ship, levelling of a hill and building of a stone fortress, digging for and experimenting with diamonds in addition to the time they spent on making stops for hunting-gathering for provisions.

Conclusion: 17 days for Stanley vs 33+x days for Senku. The value of x is left to your calculation; however, there's no way the science kingdom members can outdo Stanley's team in reaching Araxá first.

Potential objection: It may be pointed out that Ryusui said at some point that Stanley was very close and also Stanley told his captain to turn Perseus around. So following those statements, it may be deduced that Senku's team actually went by Perseus without being discovered thanks to their stealth ship and won extra time because Stanley turned around way later. There's some obscurity as to whether Stanley passed by the entry of the Paraná river only to turn around later on, so I went with the following map in the anime.

Aug 24, 7:48 PM
#2
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Jul 2025
23
Yeah you are correct with the last theory of yours. You can clearly understand in the manga that stanley went behind them bit later turned to go to Araxa as per Xeno's instructions and also followed them taking stops himself (they are humans too bro) also why the hell are you explaining it sooooooo bigggggg like not that many people care but after seeing the animes many unnatural things we can say that it doesn't compromise in science at all so the route might be faster in some terms or due to their equipments and all or we can consider it ourselves. But thanks for the effort tho 👍
DigitechzAug 24, 7:55 PM
Aug 25, 8:11 AM
#3

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Jan 2018
20
Wow, talk about doing the math. I assumed that Stanley was heading towards the Amazon to cut them off, but was passed by the stealth ship. They turned around after Dr. Xeno started getting naughty with the radio signal and they realized a stealth ship was probable.

I don’t have time to crunch the numbers right now but I suspect this could’ve bought the science team another week or so at least.

But even adding that and assuming Stanley takes a few days to resupply at various points, maybe slowing down to pick their way through the Strait of Magellan (which may have drastically changed in 3700 years) the kingdom of science is still cutting it very close at best.


ETA: we may also need to rethink our assumptions about the Perseus’ speed. The great circle route from Tokyo to San Francisco is about 5200 miles which took the Perseus about 40 days (iirc) with the North Pacific Current. It traveled an average of 5.4 miles/8.8km per hour, on a combination of sails and fuel. This is twice as long as your calculation for Stanley’s trip for 2000 miles less.

Of course, Stanley is undoubtedly going much faster than this since he is relying entirely on fuel and travelling lighter (fewer people and supplies), but can he really go 3.5 times faster?
CeloxAug 25, 11:02 AM
Aug 25, 11:20 AM
#4
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May 2018
56
Reply to Digitechz
Yeah you are correct with the last theory of yours. You can clearly understand in the manga that stanley went behind them bit later turned to go to Araxa as per Xeno's instructions and also followed them taking stops himself (they are humans too bro) also why the hell are you explaining it sooooooo bigggggg like not that many people care but after seeing the animes many unnatural things we can say that it doesn't compromise in science at all so the route might be faster in some terms or due to their equipments and all or we can consider it ourselves. But thanks for the effort tho 👍
@Digitechz I was curious about it myself anyway and wanted to share it in the community as well. Few will care about it, I know, but still I thought it'd be a nice discussion for those who take an interest in the topic. Also, thanks for the clarification about Stanley's delay. I will use it to review their time of arrival.
Aug 25, 11:52 AM
#5
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May 2018
56
Reply to Celox
Wow, talk about doing the math. I assumed that Stanley was heading towards the Amazon to cut them off, but was passed by the stealth ship. They turned around after Dr. Xeno started getting naughty with the radio signal and they realized a stealth ship was probable.

I don’t have time to crunch the numbers right now but I suspect this could’ve bought the science team another week or so at least.

But even adding that and assuming Stanley takes a few days to resupply at various points, maybe slowing down to pick their way through the Strait of Magellan (which may have drastically changed in 3700 years) the kingdom of science is still cutting it very close at best.


ETA: we may also need to rethink our assumptions about the Perseus’ speed. The great circle route from Tokyo to San Francisco is about 5200 miles which took the Perseus about 40 days (iirc) with the North Pacific Current. It traveled an average of 5.4 miles/8.8km per hour, on a combination of sails and fuel. This is twice as long as your calculation for Stanley’s trip for 2000 miles less.

Of course, Stanley is undoubtedly going much faster than this since he is relying entirely on fuel and travelling lighter (fewer people and supplies), but can he really go 3.5 times faster?
@Celox About Stanley's delay, a map in the latest anime episode shows Senku just about to exit a river, which I assume is the Amazon, while Stanley is closing in on them, so yeah that makes an extra ~12000 km for Stanley to go and come back.

You may be right about the assumption of Perseus's speed. I thought it'd be faster after its conversion into an aircraft carrier. Since they cut the masts, I assumed they would improve the engine to compensate for the lost speed by the sails. They may have just left it like that despite the speed disadvantage. However, here's the catch: If Perseus' speed is 8.8 km/h, that translates into ~4.75 knots, which is really slow contrary to Stanley's confidence, and if it's also faster than the boat Senku's team uses until South America, just what is the speed of the latter? 2 knots? Even a basic sailboat would be faster than both. Why even have an engine then? They could just go with sails as they later did as an auxiliary. This part is a little opaque but I will reconsider Stanley's time of arrival with reduced speeds nonetheless and share it in another comment.
Aug 25, 1:40 PM
#6

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Jan 2018
20
@Arxeas I totally forgot about that scene, if we are understanding it correctly it took both sides the same amount of time to reach the mouth of the Amazon and we can adjust the speed estimates accordingly.

I think it raises another question though. It didn’t look like the Perseus went far upriver, if it went up the river at all, before turning around, and if it is significantly faster than the stealth ship which is a reasonable assumption, would they have unknowingly overtaken the stealth ship again at some point?

As for the Perseus’ speed, I agree 8.8 km/h seems very low for how it’s portrayed and the implications for the speed of the science boats. I think it’s a very safe assumption that carrier!Perseus is faster than sailboat!Perseus, it’s just a question of how much.
Aug 25, 2:17 PM
#7
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May 2018
56
The reviewed calculation with new info provided by @Digitechz and @Celox:


The extra route Stanley takes with Paraná river for reference


Where Senku's boat overtakes Perseus.

Stanley's Route:

Another map in the anime shows Stanley and Senku almost coming across near what I assume to be the estuary of the Amazon River. This makes the Stanley's route approximately 12000 km (~7456 miles) longer than the previous estimation. The new assumed speed of Perseus is 4.7 knots (8.8 km/h) but this is when the current effect on the speed is next to none. So when the effects of the Peru, Brazilian and South Equatorial Currents and of the Paraná River are calculated, the average speed during the route is 4.11 knots and to cover 12200+12000=24200 km (15037 miles) with 182.6 km/day (~113.5 mi/day), it would require around 132.5 days. An astronomical change from 17 days.

Senku's Route:

Perseus had left Japan for America around late summer namely August. +40 days from crossing the Pacific, + a few days/weeks from the engagement with Xeno and +30 days from going from California to Ecuador with the same speed they crossed the Pacific and + over a week to cross the Andes make the season they're in during their Amazon waterslide winter. Winter is the rainy season of the Amazon river so we'll assume its speed to be 5.4 km/h (~3.35 mph) instead of 2.4. 5.4+3.6=9 km/h (~5.6 mph). 2811 km (~1747 miles) of distance covered with 216 km/day (~134 mi/day) results in 13 days of travel.

Based on the newly assumed speed of Perseus (4.7 knots) and on the assumption that the boat they build in Manaus has the same motor capabilities as the previous one which is slower than Perseus without the sails, the speed of the boat will be accepted as 3.2 knots (6 km/h=3.72 mph). Manaus to the Amazonian estuary (A), estuary to Cape São Roque (B) and from there to São Paulo (C) make up around 24%, 30% and 46% of the way respectively. A affects +4 km/h on the speed due to the Amazon flow; B affects -2 km/h due to the South Equatorial Current; C affects +2 km/h due to the Brazilian Current. That makes an average speed of 6.4 km/h (~4 mph) from Manaus to São Paulo. A distance of 5760 km to be covered with a speed of 153.6 km/day (~95.4 mi/day) gives us 37 and a half days. Nearly thrice the previous calculation.

The last part isn't subject to any changes so it still takes a little over a day.

In total, that makes 13+37+1 = 51 days of travel for Senku. As before, no other activities were included.

New Conclusion: 132+y days for Stanley vs 51+x days for Senku. The value of y was added because I am not so sure anymore about Stanley not making any stops during the route. This calculation leaves Senku's team with a minimum of 81 days for whatever they did in preparation against Stanley. I guess this puts Senku's early arrival in the feasible category, considering the anime logic and shounen effects as well.
ArxeasAug 25, 3:09 PM
Aug 25, 2:44 PM
#8
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May 2018
56
Reply to Celox
@Arxeas I totally forgot about that scene, if we are understanding it correctly it took both sides the same amount of time to reach the mouth of the Amazon and we can adjust the speed estimates accordingly.

I think it raises another question though. It didn’t look like the Perseus went far upriver, if it went up the river at all, before turning around, and if it is significantly faster than the stealth ship which is a reasonable assumption, would they have unknowingly overtaken the stealth ship again at some point?

As for the Perseus’ speed, I agree 8.8 km/h seems very low for how it’s portrayed and the implications for the speed of the science boats. I think it’s a very safe assumption that carrier!Perseus is faster than sailboat!Perseus, it’s just a question of how much.
@Celox
Celox said:
I totally forgot about that scene, if we are understanding it correctly it took both sides the same amount of time to reach the mouth of the Amazon and we can adjust the speed estimates accordingly.

That's a great way to find out the speeds but the problem with that is, we don't know how long Senku's team takes with all the stuff happening along the way like building a boat and exploring the Medusas. So it may be anything between them taking very long to do other stuff and traveling quite fast and them doing stuff fast but traveling slowly.

Celox said:
I think it raises another question though. It didn’t look like the Perseus went far upriver, if it went up the river at all, before turning around, and if it is significantly faster than the stealth ship which is a reasonable assumption, would they have unknowingly overtaken the stealth ship again at some point?

Now that you mention it, if Perseus didn't go upriver that much and considering they passed each other around the Amazon's entry point, it must have overtaken Senku's stealth ship quite early on.

Celox said:
As for the Perseus’ speed, I agree 8.8 km/h seems very low for how it’s portrayed and the implications for the speed of the science boats. I think it’s a very safe assumption that carrier!Perseus is faster than sailboat!Perseus, it’s just a question of how much.

After a new calculation, the time it takes for Perseus to reach Araxá jumped from around 40 days (based on previous speed) to 132 days. 8.8 km/h is that slow lol.
Aug 29, 2:12 AM
#9

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Oct 2013
9699
Now that's a very impressive analysis! One of the best Dr. Stone posts I've seen. :) Since I'm familiar with the manga I know how it will end, so I will stop here with my comment, but again, really great analysis that is deeply rooted in the Dr. Stone franchise's core theme - science.
Aug 29, 10:52 AM
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May 2018
56
Reply to Adnash
Now that's a very impressive analysis! One of the best Dr. Stone posts I've seen. :) Since I'm familiar with the manga I know how it will end, so I will stop here with my comment, but again, really great analysis that is deeply rooted in the Dr. Stone franchise's core theme - science.
@Adnash Thank you :) It makes me really happy to hear that and glad that I posted it. When it comes to Dr. Stone, it's the best when the community participates in science discussions.
Aug 30, 12:51 AM
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Jul 2025
23
Bro the main problem is the weight of perseus. Sailboats can be way faster than carriers and cruise ships (this is from online data I didn't attach sites sorry). In many places in history sailboats have played significant role in arrivals and departures of ships. Also the weight of oil that perseus took with them is no joke. Oil is very heavy but important stuff for boats with mechanical power.
I agree that speeds of ships are not given so I would say that all our asumptions (going through all that is happening in anime) are nearly correct because I was not able to get proper sense of timing in manga so thanks for this post.
Aug 30, 1:07 PM
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May 2018
56
Reply to Digitechz
Bro the main problem is the weight of perseus. Sailboats can be way faster than carriers and cruise ships (this is from online data I didn't attach sites sorry). In many places in history sailboats have played significant role in arrivals and departures of ships. Also the weight of oil that perseus took with them is no joke. Oil is very heavy but important stuff for boats with mechanical power.
I agree that speeds of ships are not given so I would say that all our asumptions (going through all that is happening in anime) are nearly correct because I was not able to get proper sense of timing in manga so thanks for this post.
@Digitechz
Digitechz said:
Bro the main problem is the weight of perseus. Sailboats can be way faster than carriers and cruise ships (this is from online data I didn't attach sites sorry). In many places in history sailboats have played significant role in arrivals and departures of ships. Also the weight of oil that perseus took with them is no joke. Oil is very heavy but important stuff for boats with mechanical power.

Yeah, you're right. If it takes them a minimum of 132 days or so and considering that Stanley's team never pauses to refuel because they can't obtain oil arbitrarily, I can't imagine just how much oil they're carrying with them. They must have stuffed every nook and cranny in the ship with oil barrels. This is a further proof of Perseus's snail-like speed.
Digitechz said:
I agree that speeds of ships are not given so I would say that all our asumptions (going through all that is happening in anime) are nearly correct because I was not able to get proper sense of timing in manga so thanks for this post.

I'm glad to be of any help. Thank you for your participation in the discussion :)
This season especially has ambiguity regarding how much time passes between scenes. In the previous seasons, Senku or others would mention how much time had passed since an event. No one points out something having to do with time in this season. They could have Ryusui, who as Perseus' captain knows everything about his ship, estimate how long it'd take Stanley to come to their location etc., but hey, let's look on the bright side: it leads to posts and discussions like this and we get to raise our fingers in front of our noses and be Senku :)

Yesterday, 5:31 AM
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Jul 2025
23
Arxeas said:
@Digitechz
Digitechz said:
Bro the main problem is the weight of perseus. Sailboats can be way faster than carriers and cruise ships (this is from online data I didn't attach sites sorry). In many places in history sailboats have played significant role in arrivals and departures of ships. Also the weight of oil that perseus took with them is no joke. Oil is very heavy but important stuff for boats with mechanical power.

Yeah, you're right. If it takes them a minimum of 132 days or so and considering that Stanley's team never pauses to refuel because they can't obtain oil arbitrarily, I can't imagine just how much oil they're carrying with them. They must have stuffed every nook and cranny in the ship with oil barrels. This is a further proof of Perseus's snail-like speed.
Digitechz said:
I agree that speeds of ships are not given so I would say that all our asumptions (going through all that is happening in anime) are nearly correct because I was not able to get proper sense of timing in manga so thanks for this post.

I'm glad to be of any help. Thank you for your participation in the discussion :)
This season especially has ambiguity regarding how much time passes between scenes. In the previous seasons, Senku or others would mention how much time had passed since an event. No one points out something having to do with time in this season. They could have Ryusui, who as Perseus' captain knows everything about his ship, estimate how long it'd take Stanley to come to their location etc., but hey, let's look on the bright side: it leads to posts and discussions like this and we get to raise our fingers in front of our noses and be Senku :)


Bro I hope people keep discussing anime like this, in other forums all I see is everyone is just fighting with each other and some people have very biased views towards their favorites and no one discusses the mistakes and shortcomings of the animes and the stories.

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