Math CentralQuandaries & Queries


Question from kerstin, a student:

a women jogging at 6 mi/h passes a men biking in the opposite direction at 12 mi/h. if the maintain their speeds, how far from each other will they be 10 minutes after passing?

Hi Kerstin. You are asking how big is the gap between the two.

Since they are moving in opposite directions, the gap is growing at a rate of 6+12=18 mi/h. So if the gap starts at nothing (when they pass), how large does the gap grow in 10 minutes if it could grow to 18 miles in one hour?

Steve La Rocque

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