Q 430. A private jet can fly 1210 miles... [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 430. (page 1008)

A private jet can fly 1210 miles against a 25 mph headwind in the same amount of time it can fly 1694 miles with a 25 mph tailwind. Find the speed of the jet.

Short Answer

Expert verified

The speed of the jet is 150 mph.

Step by step solution

Step 1. Given information.

A private jet can fly 1210 miles against a 25 mph headwind in the same amount of time it can fly 1694 miles with a 25 mph tailwind.

Let's take $r =$ the speed of the jet. then,

The speed of the jet increases when it flies with the wind and its rate is $r + 25$ .

The speed of the jet decreases when the jet flies against the wind and its rate is $r - 25$ .

Step 2. Find the speed of the jet.

Organize the given information in a chart:

	Rate	Time $(t) = \frac{D}{r}$	Distance $D = r 路 t$
Headwind	$r - 25$	$\frac{1210}{r - 25}$	$1210$
Tailwind	$r + 25$	$\frac{1694}{r + 25}$	$1694$

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

$\frac{1210}{r - 25} = \frac{1694}{r + 25}$

Multiply both sides by the LCD,

$(r - 25) (r + 25) (\frac{1210}{r - 25}) = (r - 25) (r + 25) (\frac{1694}{r + 25})$

Simplify,

$(r + 25) 1210 = (r - 25) 1664 1210 r + 30, 250 = 1694 r - 42, 350 72600 = 484 r r = 150$

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91影视

A private jet can fly 1210 miles against a 25 mph headwind in the same amount of time it can fly 1694 miles with a 25 mph tailwind. Find the speed of the jet.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the speed of the jet.

One App. One Place for Learning.

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