Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
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Chapter A.8, Problem 27AYU
To determine

To find: A motorboat maintained a constant speed of 15 miles per hour relative to the water in going 10 miles upstream and then returning. The total time for the trip was 1.5 hours. What is the speed of the current.

Expert Solution & Answer
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Answer to Problem 27AYU

The speed of the current is 5.

Explanation of Solution

Upstream =  10 15  x and down stream =  10 15 + x

Therefore,

10 15  x  +  10 15 + x  = 1.5

10( 15 + x ) + 10( 15  x ) ( 15  x )( 15 + x )  = 25   x 2  = 0

That is x = ±5 .

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