Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Representation and Calculation - Chapter Summary, Review, and Test - Review Exercises: 10

Answer

The films will begin simultaneously (again) at 11:48 AM.

Work Step by Step

The films both begin at 9:00 AM. One goes for 42 minutes, the other is 56 minutes. This is a least common multiple problem. The least common multiple of 42 and 56 is 168. So, 168 minutes after 9:00 AM the films will both begin again at the same time. This would be 11:48 AM Another way to look at this: Film A starts at: 9:00 AM, 9:42 AM, 10:24 AM, 11:06 AM and 11:48 AM (start times are every 42 minutes) Film B starts at 9:00 AM, 9:56 AM, 10:52 AM, 11:48 AM (starts over every 56 minutes)
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