Solution:
The hare and the tortoise are together covering the distance at 11 miles per hour (i.e., on adding their speeds).
So, they will cover the distance of 44 miles in 4 hours.
Thus, in 4 hours, they will meet and the hare will have traveled 32 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 3
t miles.
Now,
8
t + 3
t = 44
So,
t = 44 ⁄ 11 = 4 hours.
Thus, distance traveled by hare before meeting = 8 × 4 = 32 miles.
Food for thought:
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