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High School Math Algebra Algebra and Trigonometry: Structure and Method, Book 2

Speed of plane and wind.

Speed of plane and wind.

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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Question

Chapter 3.7, Problem 5ST

To determine

To find: Speed of plane and wind.

Expert Solution & Answer

Answer to Problem 5ST

Speed of plane is 105 miles/h , speed of wind is 15 miles/h

Explanation of Solution

Given information: Plane takes 3h to travel 360 miles in direction of wind and 4h against wind.

Calculation:

Let x be the speed of the plane,

Let y be the speed of the wind,

As per the given situation, system of equations is,

3(x+y)=360 −(i)4(x−y)=360 −(ii)

Dividing first equation by 3 and second by 4 ,

x+y=120 −(iii)

x−y=90 −(iv)

Rearranging third equation,

y=120−x −(v)

Putting this value of y in fourth equation,

x−(120−x)=90 x−120+x=90 2x−120=90 x=105

Putting this value of x in fifth equation,

y=120−105y=15

Speed of plane is 105 miles/h , speed of wind is 15 miles/h

Chapter 3.7, Problem 4ST

Chapter 3.7, Problem 6ST

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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Prob. 14CT Ch. 3 - Prob. 15CT Ch. 3 - Prob. 16CT Ch. 3 - Prob. 1CLR Ch. 3 - Prob. 2CLR Ch. 3 - Prob. 3CLR Ch. 3 - Prob. 4CLR Ch. 3 - Prob. 5CLR Ch. 3 - Prob. 6CLR Ch. 3 - Prob. 7CLR Ch. 3 - Prob. 8CLR Ch. 3 - Prob. 9CLR Ch. 3 - Prob. 10CLR Ch. 3 - Prob. 11CLR Ch. 3 - Prob. 12CLR Ch. 3 - Prob. 13CLR Ch. 3 - Prob. 14CLR Ch. 3 - Prob. 15CLR Ch. 3 - Prob. 16CLR Ch. 3 - Prob. 17CLR Ch. 3 - Prob. 18CLR Ch. 3 - Prob. 19CLR Ch. 3 - Prob. 20CLR Ch. 3 - Prob. 21CLR Ch. 3 - Prob. 22CLR Ch. 3 - Prob. 23CLR Ch. 3 - Prob. 24CLR Ch. 3 - Prob. 25CLR Ch. 3 - Prob. 26CLR Ch. 3 - Prob. 27CLR Ch. 3 - Prob. 28CLR

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