Problem:
John is walking east at a speed of 3 miles per hour, while Bob is also walking east, but at a speed of 5 miles per hour. If Bob is now 1 mile west of John, how many minutes will it take for Bob to catch up to John?
Answer Choices:
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Solution:
In order to catch up to John, Bob must walk 1 mile farther in the same amount of time. Because Bob's speed exceeds John's speed by miles per hour, the time required for Bob to catch up to John is hour, or minutes.
The problems on this page are the property of the MAA's American Mathematics Competitions