Achilles and the turtle

It is known that Achilles will not catch up with the turtle. But his brother Auchalles can do it. He even gave the turtle an 8-hour lead. Calculate how far from the start Auchalles will meet a turtle moving at an average speed of 70 m/h, if Auchalles walks slowly at a speed of 2.5 km/h

Correct result:

s =  0.5761 km

Solution:

v1=2.5 km/h v2=70/1000=7100=0.07 km/h    s=v2 (t+8)=0.5761 km s=v1 t s=0.07 (t+8) s=2.5 t  s0.07t=0.56 s2.5t=0  s=1402430.576132 t=562430.230453



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Paradox
Achilles and the tortoise is an ancient paradox by which Zénón allegedly proved the impossibility of movement. Achilles - the fastest runner - never catches up with the turtle a bit ahead of him. The moment it reached the original place of the turtle, the turtle moved a little further. When Achilles runs this piece, the turtle is a little further again and so on to infinity.

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