Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 5.9, Problem 18P

To determine

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

Expert Solution & Answer

Answer to Problem 18P

The average speed of the last 80% of her trip was $96 km/hr$

Explanation of Solution

Formula:

Given that the averaged $40 km/hr$ for the first 20% of a trip and $75 km/hr$ for the whole trip.

Formula:

$time=distancespeed$

Let total distance be x and remaining 80% speed be $y(km/hr)$

First, determine the total time 20% distance covered with speed $40 km/hr$

$time=distanceSpeed⇒20%×x(km)40(km/hr=(20100)x40=x200(hr)...............(i)$

Now, determine the total time of remaining 80% distance covered with speed $y(km/hr)$

$time=distanceSpeed⇒80%×x(km)y(km/hr=80x100y=8x10y(hr)...............(ii)$

Finally determine the time for total distance travelled be x with the speed of $75 km/hr$

$time=distanceSpeed⇒x(km)75(km/hr=x75(hr)...............(iii)$

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

$x200+8x100y=x75cancle the x1200+810y=175810y=175−1200110y=200−75200×75810y=125200×75y=20×75×8125=5×8×3=96km/hr$

Hence, The average speed of the last third of the trip is $96 km/hr$

Chapter 5.9, Problem 17P

Chapter 5.9, Problem 19P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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