A hare and a tortoise are having a race along a 2.7 km track.
The tortoise sets off at a steady speed of 3 m/s and does not stop.
The hare is confident that he can win. He speaks with his fans for 2 minutes before setting off at 5 m/s for 6 mins. Then he stops for 5 mins to take a nap. He finally finishes the race at the same speed as before (5 m/s)
Find the average speed of hare and tortoise
Answers
Given : A hare and a tortoise are having a race along a 2.7 km track.
The tortoise sets off at a steady speed of 3 m/s and does not stop.
The hare is confident that he can win. He speaks with his fans for 2 minutes before setting off at 5 m/s for 6 mins. Then he stops for 5 mins to take a nap. He finally finishes the race at the same speed as before (5 m/s)
To Find : the average speed of hare and tortoise
Solution:
2.7 km track. = 2700 m
Tortoise sets off at a steady speed of 3 m/s and does not stop.
Hence average speed of Tortoise = 3 m/s
Hare non traveling time = 2 + 5 = 7 mins = 420 secs
Time taken by hare to complete the race with 5 m/s = 2700/5
= 540 secs
Total Time taken by hare = 540 + 420 = 960 secs
Average speed of Hare = 2700/960
= 90/32
= 45/16
= 2.8125 m/s
average speed of Tortoise = 3 m/s
Average speed of Hare = 2.8125 m/s
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