Latest self Aptitude Question SOLUTION: The tortoise and the rabbit were in a 42 kilometer marathon. The rabbit can run 5 times as fast as the tortoise. Less than halfway into the race, the rabbit dropped his lucky rabbi

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(#M40018082) SELF question Keep an EYE

The tortoise and the rabbit were in a 42 kilometer marathon. The rabbit can run 5 times as fast as the tortoise. Less than halfway into the race, the rabbit dropped his lucky rabbit's foot, and so stopped to try and find it. After finding it, he started running to catch up with the tortoise. When the tortoise reached the finishing line, the rabbit was 2 kilometers away. How far (in km) did the tortoise crawl while the rabbit was looking for his lucky rabbit's foot?

arjun (11 years ago)

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Dr.Dipin Singh  (11 years ago)

34 kms

By the time, tortoise covered 42 kms, rabbit covered 40 kms ( including wasted time and running time)

If x and 5x are speeds of tortoise and rabbit, then
time taken by rabbit for finding boot = 42/x - 40/5x= 34/x hrs
distance travelled by tortoise during this time = x*34/x= 34 kms

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arjun  (11 years ago)

Thanks @ Dipin

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