Q 8.161. Link can ride his bike 20 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 8.161. (page 1001)

Link can ride his bike 20 miles into a 3 mph headwind in the same amount of time he can ride 30 miles with a 3 mph tailwind. What is Link鈥檚 biking speed?

Short Answer

Expert verified

Link鈥檚 biking speed is 15 mph.

Step by step solution

Step 1. Given information.

Link can ride his bike 20 miles into a 3 mph headwind in the same amount of time he can ride 30 miles with a 3 mph tailwind.

Let's take the speed of the bike $= r$ .

Step 2. Find Link's biking speed.

Organize the given information in a chart:

	Rate	Time $(t) = \frac{d}{r}$	Distance
Headwind	$r - 3$	$\frac{20}{r - 3}$	$20$
Tailwind	$r + 3$	$\frac{30}{r + 3}$	30

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

localid="1648479889977" $\frac{20}{r - 3} = \frac{30}{r + 3}$

Multiply both sides by the LCD,

$(r - 3) (r + 3) (\frac{20}{r - 3}) = (r - 3) (r + 3) (\frac{30}{r + 3})$

Now simplify,

$20 (r + 3) = 30 (r - 3) 20 r + 60 = 30 r - 90 150 = 10 r 15 = r$

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91影视

Link can ride his bike 20 miles into a 3 mph headwind in the same amount of time he can ride 30 miles with a 3 mph tailwind. What is Link鈥檚 biking speed?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find Link's biking speed.

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