A hare and a tortoise compete in a race over a straight course 1.85 km long. The

Question

A hare and a tortoise compete in a race over a straight course 1.85 km long. The tortoise crawls at a speed of 0.280 m/s toward the finish line. The hare runs at a speed of 7.65 m/s toward the finish line for 1.480 km and then stops to tease the slow-moving tortoise as the tortoise eventually passes by. The hare waits for a while after the tortoise passes and then runs toward the finish line again at 7.65 m/s. Both the hare and the tortoise cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far is the tortoise from the finish line when the hare resumes the race? 356.46 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m (b) For how long in time was the hare stationary? 6365.32 s

Explanation / Answer

When The hare stops to tease the tortoise, then from that point the time taken will be same as that of tortoise from some particular distance of interest to the finish line.

Distance remaining for hare = 1.85 - 1.480 = 0.37m

Time in which hare can reach remaining distance = 0.37 x 1000/7.65 = 48.366 s

The tortoise will take same time to reach finish line. So distance of tortoise from finish line is = 0.28 x 48.366 = 13.54 m

Hence the distance of tortoise from finish point = 13.54 m

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