SOLUTION: Sue needed to return a bike she had borrowed from her friend. She can make the trip there and back in one hour by riding there and walking back. She can bike six times faster than

Question 934390: Sue needed to return a bike she had borrowed from her friend. She can make the trip there and back in one hour by riding there and walking back. She can bike six times faster than she can walk. She can walk at the rate of two miles per hour. How long did she spend walking?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
t = time walking
x = speed biking
y = speed walking = 2 mph
---
x = 6y
---
s = d/t
t = d/s
---
time biking:
1 - t = d/x
1 - t = d/6y
t = 1 - d/6*2
t = 1 - d/12
---
time walking:
t = d/y
t = d/2
---
equate times:
1 - d/12 = d/2
1 = d/2 + d/12
1 = 6d/12 + d/12
1 = 7d/12
d = 12/7
---
t = d/2
t = (12/7)/2
t = 0.857142857143 hours
t = (0.857142857143 hours) * (60 minutes/hour)
t = 51.43 minutes
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
Send and receive free text messages online:
https://sooeet.com
RELATED QUESTIONS
Alice borrowed a bicycle from her friend, Bob, and wanted to return it. She rode the... (answered by ankor@dixie-net.com)

Chloe borrowed some money from her friend in order to help buy a new video game system... (answered by jim_thompson5910)

(Word Problem) Michael was riding his bike one day. Michael’s distance (in blocks) per (answered by ikleyn)

sue ran to the park in 1 1/2 hours at the rate of 6 miles per hour. How long would it... (answered by fcabanski)

Linda borrowed $1000 from her friend and agreed to repay her in a year with 5% intrest.... (answered by stanbon)

Jenny walks 5 kilometers from her house to Star SuperMall to buy a new bike which she... (answered by josgarithmetic,jorel555,MathTherapy)

Jenny walks 5 kilometers from her house to Star SuperMall to buy a new bike which she... (answered by josgarithmetic)

here is my problem: Tara went bike riding. For the first part of her trip, she road at... (answered by scott8148)

Hello I need an explanation on this problem, not a solve. Kira drove 200 miles from (answered by ikleyn,MathTherapy)