Q 598. Mark is riding on a plane that c... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 598. (page 1027)

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

Short Answer

Expert verified

The speed of the plane is $120$ mph.

Step by step solution

Step 1. Given information.

A plane can fly $350$ miles against a $20$ mph tailwind in the same amount of time it can fly $490$ miles with a $20$ mph tailwind.

Let the speed of plane $= r$ .

The speed of the plane increases when it flies with the wind and its rate is $r + 20$ .

The speed of the plane decreases when the plane flies against the wind and its rate is $r - 20$ .

Step 2. Find the speed of the plane.

Organize the given information in a chart:

	Rate	Time $t = \frac{d}{r}$	Distance $d = t 路 r$
Against tailwind	role="math" localid="1648710306058" $r - 20$	role="math" localid="1648710335416" $\frac{350}{r - 20}$	$350$
With tailwind	role="math" localid="1648710317385" $r + 20$	role="math" localid="1648710349141" $\frac{490}{r + 20}$	$490$

Since the times are equal, equate the times in both cases,

$\frac{350}{r - 20} = \frac{490}{r + 20}$

Multiply both sides by the LCD, $(r - 20) (r + 20)$

$(r - 20) (r + 20) \frac{350}{r - 20} = (r - 20) (r + 20) \frac{490}{r + 20} (r + 20) 路 350 = (r - 20) 路 490 350 r + 7000 = 490 r - 9800 140 r = 16800 r = 120$

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91影视

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the speed of the plane.

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91影视

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. What is the speed of the plane?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the speed of the plane.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Applied Mathematics

Probability and Statistics

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

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