The tortoise and the hare are having a race over a course of length 0.52 km. The tortoise crawls along at a constant 0.075 m/s while the hare sprints along at a constant 16.7 m/s (when he is not sleeping). The race starts and the hare runs halfway to the finish line and decides to take a nap while the tortoise plods along. Waking from his nap, the hare sees that the tortoise has made so much progress that he might lose the race. He takes off and just catches up to the toroise at the finish line so that the race ends in a tie. Be careful with units.

How many hours did the hare sleep before waking up?

Question

Physics

Pierce Pham

1 January, 04:44

The tortoise and the hare are having a race over a course of length 0.52 km. The tortoise crawls along at a constant 0.075 m/s while the hare sprints along at a constant 16.7 m/s (when he is not sleeping). The race starts and the hare runs halfway to the finish line and decides to take a nap while the tortoise plods along. Waking from his nap, the hare sees that the tortoise has made so much progress that he might lose the race. He takes off and just catches up to the toroise at the finish line so that the race ends in a tie. Be careful with units.

How many hours did the hare sleep before waking up?

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Answers (1)

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Marquise Haney · Answer 1

Answer:the hare slept for 1 hr 55minutes.

Explanation: distance is changed to meters = 520m

Speed=distance/time

Speed of tortoise is 0.075m/s=520m/t

Crops multiplying t = 520/0.075 = 6933.3 seconds.

Speed for hare 16.7m/s = 260m/t

ie 260m is half of the distance.

t = 15.56seconds

Therefore the time slept by the hare = 6933.3 - 15.56 = 6917.74 seconds.

Converting to hours = 1hr. 55minutes is the time the hare slept.