Question

A hare and a tortoise compete in a race over a straight course 1.10 km long. The tortoise crawls at a speed of 0.160 m/s toward the finish line. The hare runs at a speed of 7.50 m/s toward the finish line for 0.880 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 7.50 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?

Answer 1

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

A hare and a tortoise compete in a race over a straight course 1.95 km long. The tortoise crawls at a speed of 0.100 m/s toward the finish line. The hare runs at a speed of 8.10 m/s toward the finish line for 1.560 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 8.10 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?

re stops from finish line at = 1.95-1.56 = 0.39 km or 390 metres

Now both animals move at there respective speeds and cross the finish line at the same instant

Time taken for both to cover 390 metres

Hare = 390/8.1 = 48.148 secs

Tortoise = 390/0.1 = 3900 secs

Tortoise travels for 3900 - 48.148 = 3851.852 secs more after the resting point of hare

Therefore tortoise is 48.148 * 0.1 = 4.8148 metres from the finish line when hare resumes the race.