Question

1. When Clint began his pursuit, Sue was already 60 miles ahead. If Sue travels at 40 mph and Clint travels at

60 mph, how many hours will it take Clint to catch up with Sue?
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Answer 1

Sue is 60 miles ahead of Clint

Sue travel at 40 mph while Clint travels at 60 mph. In the first hour, sue would have travelled 100 miles while Clint travelled 60 miles. In the second hour, Sue travelled a total distance of 140 miles and Clint 120 miles. In the third hour, Sue would have travelled 180 miles while Clint 180 miles. So they meet in the third hour.

Therefore it takes 3 hours for Clint to catch up with Sue

Hope this helps!

Answer 2

-- Clint travels at 60 mph. Sue travels at 40 mph. If Clint is behind, he's gaining (60 - 40) = 20 mph on Sue (reducing the space between them).

-- If Clint started out 60 miles behind, it takes him (60/20) = 3 hours to catch up.