/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.458. Mark is riding on a plane that c... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q.458. (page 740)

Mark is riding on a plane that can fly 490miles with a tailwind of 20mph in the same time that it can fly 350miles against a tailwind of 20mph.

Find the speed of the plane.

Short Answer

Expert verified

The speed of the plane is120mph.

Step by step solution

01

Step 1. Given information.

Mark is riding on a plane that can fly490miles with a tailwind of20mph in the same time it can fly350miles against a tailwind of20mph.

02

Step 2. Organize the information.

Let xrepresents the speed of the plane.

When the plane riding with a tailwind, the tailwind increases its speed and so the rate is x+20.

When the plane riding against the tailwind, the tailwind decreases its speed and so the rate is x-20.

We know that time=distancerate.

03

Step 3. Find the speed of the plane.

Since the times are equal, so the required proportion is:

350x-20=490x+20

Solve it as follows:

x+20350=490x-20350x+7000=490x-9800490x-350x=7000+9800140x=16,800x=16,800140x=120

04

Step 4. Simplified answer.

Hence, the speed of the plane is 120mph.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercise, perform the indicated operation:

2qq+5+3q-3-13q+15q2+2q-15

Simplify7y-3525-y2

In the following exercise, find

(a) R(x)=f(x)+g(x)

(b) R(x)=f(x)-g(x):

role="math" localid="1644749808906" f(x)=5x+7g(x)=10xx2-49

In the following exercise, perform the indicated operation:

3dd+2+4d-d+8d2+2d

If y varies directly as x and y=14, when x=3. Find the equation that relates x and y.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.