Q 444. Stu trained for 3聽hours yesterd... [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 444. (page 1008)

Stu trained for $3$ hours yesterday. He ran $14$ miles and then biked $40$ miles. His biking
speed is $6$ mph faster than his running speed. What is his running speed?

Short Answer

Expert verified

Stu's running speed is $14 m p h$ .

Step by step solution

Step 1. Given information.

Distance covered by running $= 14 m i l e s$

Distance travel by bikerole="math" $= 40 m i l e s$

Let role="math" localid="1648460094583" $r =$ stu's running speed

$r + 6 =$ stu's biking speed

Step 2. To find the time taken.

	Rate	Distance	Time
Run	$r$	$14$	$\frac{14}{r}$
Bike	$r + 6$	$40$	$\frac{40}{r + 6}$

Stu's running time $+$ stu's biking time $= 3 h o u r s$

$\frac{14}{r} + \frac{40}{r + 6} = 3 r (r + 6) [\frac{14}{r} + \frac{40}{r + 6}] = 3 r (r + 6) 14 (r + 6) + 40 r = 3 r (r + 6 14 r + 84 + 40 r = 3 r^{2} + 18 r 54 r + 84 = 3 r^{2} + 18 r 3 r^{2} - 36 r - 84 = 0 r^{2} - 12 r - 28 = 0 (r - 14) (r + 2) = 0 r = 14, r = - 2$

Speed can not be negative. So, $r = 14$

Step 3. To find the speed.

Run: $\frac{14 m i l e s}{14 m p h} = 1 h o u r s$

Bike: role="math" localid="1648462225270" $(14 + 6 = 20) \frac{40 m i l e s}{20 m p h} = 2 h o u r s$

Total $= 3 h o u r s$

Therefore stu's running speed is $14 m p h$ .

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91影视

Stu trained for $3$ hours yesterday. He ran $14$ miles and then biked $40$ miles. His biking
speed is $6$ mph faster than his running speed. What is his running speed?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the time taken.

Step 3. To find the speed.

One App. One Place for Learning.

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91影视

Stu trained for 3hours yesterday. He ran 14miles and then biked 40miles. His bikingspeed is 6mph faster than his running speed. What is his running speed?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the time taken.

Step 3. To find the speed.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Stu trained for $3$ hours yesterday. He ran $14$ miles and then biked $40$ miles. His biking
speed is $6$ mph faster than his running speed. What is his running speed?