The tortoise and the hare agree to a re-match. As they begin the race, the tortoise plods along slowly but confidently at 2 ½ mph. The hare zips ahead at 8 ½ mph, determined not to repeat his original mistake…and he doesn’t! The hare never slows down and reaches the finish line 45 minutes (3/4 of an hour) before the tortoise. How long did the tortoise run?

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The tortoise ran a distance of 1.875 miles

The distance traveled or covered is obtained using the relation :

Distance = speed × time

Using the the time it took the hare to reach the finish line:

Time taken = 45 minutes (3/4 hours)

The speed of the tortoise = 2 1/2 mph = 2.5mph

Hence, the distance covered by the tortoise :

(2.5 mph × 3/4 hours) = 1.875 miles

The distance covered by the tortoise is 1.875 miles

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