Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Question
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Chapter 5.9, Problem 17P
To determine

To find the average speed for the last third of the trip.

Expert Solution & Answer
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Answer to Problem 17P

The average speed of the last third of the trip is 75km/hr

Explanation of Solution

Formula:

Given that train averaged 120 km/hr for the first two third of a trip and 100 km/hr for the whole trip.

Formula:

  time=distancespeed

Let total distance be x and one third speed be y(km/hr)

First, determine the total time of two third distance covered with speed 120 km/hr

  time=distanceSpeed⇒23×x(km)120(km/hr=2x360(hr)...............(i)

Now, determine the total time of remaining one third distance covered with speed y(km/hr)

  time=distanceSpeed⇒13×x(km)y(km/hr=x3y(hr)...............(ii)

Finally determine the time for total distance travelled be x with the speed of 100 km/hr

  time=distanceSpeed⇒x(km)100(km/hr=x100(hr)...............(iii)

Now, Add equation ( i ) and equation ( ii ) and compare with equation (iii)

  2x360+x3y=x100cancle​ the x2360+13y=110013y=1100−118013y=180−100100×1801y=80100×60y=3×1004=75km/hr

Hence, The average speed of the last third of the trip is 75km/hr

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Chapter 5.9, Problem 16P
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Chapter 5.9, Problem 18P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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