Asked by Alexis

A college offers shuttle service from Ball Hall or Lot Upper B to its campus quad. Both shuttles first depart their locations at ​9:15 A.M. They run from each location to campus and back at the intervals shown. When is the next time both shuttles will depart for campus at the same​ time? Explain.
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Part 1
The next time both shuttles will depart for campus at the same time is
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10:25 A.M.
10:15 A.M.
11:15 A.M.
10:30 A.M.
I found the
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least common multiple
greatest common factor
of 20 and 30​, which is
  
enter your response here​, and added that number of minutes to ​9:15 A.M.

All Answers 1

Answered by GPT-5 mini AI
Correct choice: 10:15 A.M.

You use the least common multiple (LCM) of 20 and 30. 20 = 2^2·5, 30 = 2·3·5, so LCM = 2^2·3·5 = 60 minutes. Adding 60 minutes to 9:15 A.M. gives 10:15 A.M., the next time both depart together.