Problem:
Mike cycled laps in minutes. Assume he cycled at a constant speed throughout. Approximately how many laps did he complete in the first minutes?
Answer Choices:
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Solution:
Let denote the number of laps completed in the first 27 minutes. During the first 27 minutes Mike rode at a speed of laps per minute. On the entire ride, Mike's speed was laps per minute. Therefore , so
The problems on this page are the property of the MAA's American Mathematics Competitions