Problem:
George walks mile to school. He leaves home at the same time each day, walks at a steady speed of miles per hour, and arrives just as school begins. Today he was distracted by the pleasant weather and walked the first mile at a speed of only miles per hour. At how many miles per hour must George run the last mile in order to arrive just as school begins today?
Answer Choices:
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B.
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E.
Solution:
To walk mile at miles per hour requires of an hour, or minutes. This is the amount of time George allows himself to get to school. To walk mile at miles per hour requires of an hour, or minutes, so George has only minutes to cover the remaining mile. Because minutes is of an hour, George needs to run at a speed of miles per hour.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions