Multiple choice

There was a race between a hare and a tortoise. The length of the race was 600 m. The speeds of hare and tortoise were 24 km/hr and 0.4 km/hr, respectively. But, along the way, the hare felt tired and slept for some time. After some time, he woke up and completed the race with the same speed as before. But, the race ended in a tie. For how long did the hare sleep?

  1. 92.5 min

  2. 88.5 min

  3. 84.5 min

  4. 60.5 min

  5. 45 min
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Hare speed = 24 km/hr = 400 m/min. Tortoise speed = 0.4 km/hr = 400/60 = 6.67 m/min. Tortoise time = 600 / 6.67 = 90 min. Hare running time = 600 / 400 = 1.5 min. Sleep time = 90 - 1.5 = 88.5 min.

AI explanation

First, convert the speeds to metres per minute: the hare runs at 400 m/min and the tortoise moves at 20/3 m/min. The time taken for the tortoise to complete the 600 m race is 600 divided by 20/3, which equals 90 minutes. The time the hare actually spent running is 600 divided by 400, which is 1.5 minutes. The difference between the tortoise's total time and the hare's running time is 90 minus 1.5, meaning the hare slept for 88.5 minutes.

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