Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 5.8, Problem 9P

To determine

To find how far upstream did the boat travel in 7 h if the total time for the trip, including the stop.

Expert Solution & Answer

Answer to Problem 9P

The distance travelled is 36 Km

Explanation of Solution

Formula:

Given that total time is 7 hours including sightseeing for2 hours therefore, the total travel time is 5 hours.

Formula:

speed=distancetime

Let total time be x

First, to determine the distance of the upstream have speed 12km/hr in x hour

speed×time=12×x=12x...............(i)

Now, determine the distance of the downstream have speed 18km/hr in total (5−x) hours.

speed×time=18×(5−x)...............(ii)

Thus , the distance travelled in downstream will be equal to upstream.

Now, compare equation ( i ) and equation ( ii )

12x=18(5−x).12x=90−18x12x+18x=9030x=90x=3 hr

Hence, total distnace=12×3=36 km

Chapter 5.8, Problem 8P

Chapter 5.8, Problem 10P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 1OE Ch. 5.1 - Prob. 2OE Ch. 5.1 - Prob. 3OE Ch. 5.1 - Prob. 4OE Ch. 5.1 - Prob. 5OE Ch. 5.1 - Prob. 6OE Ch. 5.1 - Prob. 7OE Ch. 5.1 - Prob. 8OE Ch. 5.1 - Prob. 9OE Ch. 5.1 - Prob. 10OE

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