Problem:
Jack and Jill are going swimming at a pool that is one mile from their house. They leave home simultaneously. Jill rides her bicycle to the pool at a constant speed of miles per hour. Jack walks to the pool at a constant speed of miles per hour. How many minutes before Jack does Jill arrive?
Answer Choices:
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Solution:
Jill takes of an hour, or minutes, to get to the pool, and Jack takes of an hour, or minutes, so Jill arrives minutes before Jack.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions