Tortoise vs Hare: Solve Homework Problem

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The problem involves a race between a tortoise and a hare, with the tortoise running at a constant speed of 2.30 cm/s and the hare initially running at 1.50 m/s for 10 minutes before taking a nap. The hare then accelerates at 0.500 m/s² after waking up to cover the remaining distance. The tortoise's total time to finish the race is calculated to be 50,000 seconds, while the hare's time without the nap is 620 seconds. The discussion centers around determining the duration of the hare's nap, with one participant initially calculating it as 13.7 hours, while the correct answer is identified as 11.9 hours.
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Homework Statement


Help me with this particular problem.

A tortoise and a hare are having a 1000-meter race. The tortoise runs the race at a constant speed of 2.30 cm/s. The hare moves at an average speed of 1.50 m/s for 10.0 minutes and then decides to take a nap. After waking up from the nap, the hare recognizes that the tortoise is about to cross the finish line and immediately accelerates from rest with a constant acceleration of 0.500 m/s/s for the remaining distance of the race. If the tortoise wins by a hair (no pun intended), then what is the time in hours that the hare napped?

t for tortoise=50 000s t for hare without nap=620s

Homework Equations





The Attempt at a Solution


I get 13.7hr when the answer is 11.9hr subtracting those amounts.
 
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How did you get that result?

ehild
 
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