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1. A motorcyclist rode to work at an average speed of 15 miles per hour and returned home along the same route at an average speed of 45 miles per hour. If his entire traveling time was 1 hour, what was the total number of miles in the round trip?

  • A. 30
  • B. 30
  • C. 30
  • D. 30

Answer: Option E

Explanation:

He travels 20 miles at a speed of 15 mph so he takes 20/15 = 4/3 hrs to travel one way. Since total time is 2 hrs, he must have taken 2 - 4/3 = 2/3 hrs while returning.
Speed while returning = 20/(2/3) = 30 mph

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