Hare and tortoise meeting puzzle


Haretown and Tortoiseville are 55 miles apart. A hare travels at 8 miles per hour from Haretown to Tortoiseville, while a tortoise travels at 3 miles per hour from Tortoiseville to Haretown.

If both set out at the same time, how many miles will the hare have to travel before meeting the tortoise en route?


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    Answer – 40 miles 

    Distance travelled by hare = x
    Distance travelled by tortoise  = y

    x + y = 55 ………(1)

    Time taken by hare to cover distance x = x/8
    Time taken by tortoise to cover distance y = y/3

    x/8 = y/3
    3x= 8y …………..(2)

    Solving (1) and (2), x = 40, y = 15

    Hare travels 40 miles and tortoise travels 15 miles. They meet after 5 hours.

    SreeRoopa Sankararaman Genius Answered on 16th March 2016.
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