Thinking Mathematically (6th Edition)

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

Chapter 1 - Problem Solving and Critical Thinking - 1.3 Problem Solving - Exercise Set 1.3 - Page 39: 36


30 minutes

Work Step by Step

Since all houses are evenly spaced, let's call the distance between 2 neighboring houses, which is the same for all pairs of neighboring houses, $L$. To walk from the first house to the third house, you need to walk for $2L$, ($L$ from the first to the second and $L$ from the second to the third.) To walk a full circle, you need to walk for 6 $L$s. (first to second, second to third, third to fourth, fourth to fifth, fifth to sixth, and sixth to first) We know it takes $10$ minutes to walk $2L$. That means that it takes $10\div2=5$ minutes to walk one L. The time it takes to walk a full circle is then: $5*6=30$ minutes.
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