Explanation Given: The first motorcyclist passes the starting point every 12 min, the second every 18 min, and the third every 16 min. Approach: The LCM of any two positive integer say a and b is a positive integer which is the multiple of both a and b . Calculation: Now, in order to get the time taken to all the three motorcyclists pass the starting point again at the same time, take the Least common multiple of 12 min, 18 min and 16 min with the help of prime factorization method. The prime factorization of 12 is, 12 = 2 ⋅ 2 ⋅ 3 = 2 2 ⋅ 3 And the prime factorization of 18 is,

Problem Solving Approach to Mathematics for Elementary School Teachers, A, Plus MyLab Math -- Access Card Package (12th Edition)

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ISBN: 9780321990594

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Chapter 4.3A, Problem 18A

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The time (in minutes) taken to all the three motorcyclists pass the starting point again at the same time.

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Chapter 4.3A, Problem 17A

Chapter 4.3A, Problem 19A

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14. Show that if a, b, and c are integers such that (a, b) = 1 and c | (a+b), then (c, a) = (c, b) = 1.

Chapter 4 Solutions

Problem Solving Approach to Mathematics for Elementary School Teachers, A, Plus MyLab Math -- Access Card Package (12th Edition)

Ch. 4.1 - Reasoning Prove the following statements, assuming...Ch. 4.1 - A customer wants to mail a package. The postal...Ch. 4.1 - Is the areain cm2 of each of the following...Ch. 4.1 - Prob. 5MC Ch. 4.1 - A number in which each digit except 0 appears...Ch. 4.1 - Prob. 7MC Ch. 4.1 - Three tiles marked x, yandz need three different...Ch. 4.1 - Prob. 10MC Ch. 4.1 - Prob. 11MC Ch. 4.1 - Prob. 12MC

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The time (in minutes) taken to all the three motorcyclists pass the starting point again at the same time.

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To find:

The time (in minutes) taken to all the three motorcyclists pass the starting point again at the same time.