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Puzzles & Brain Teasers
The Hare and the Tortoise
If both set out at the same time, how many miles will the hare have to travel before meeting the tortoise en route?
40
Solution:
The hare and the tortoise are together covering the distance at 9 miles per hour (i.e., on adding their speeds).
So, they will cover the distance of 45 miles in 5 hours.
Thus, in 5 hours, they will meet and the hare will have traveled 40 miles.
Alternative Solution through Equations:
Note that : Distance = Speed × Time
Let t be the time before the hare and the tortoise meet.
In t hours, the hare will travel 8 t miles.
In t hours, the tortoise will travel 1 t miles.
Now,
8 t + 1 t = 45
So, t = 45 ⁄ 9 = 5 hours.
Thus, distance traveled by hare before meeting = 8 × 5 = 40 miles.
Food for thought:
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