SOLUTION: Here is the word problem I am having complications solving: "It took Emily 25 minutes to ride her bicycle to the repair shop and 1 hour and 15 minutes to walk back home. If Emily c

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Here is the word problem I am having complications solving: "It took Emily 25 minutes to ride her bicycle to the repair shop and 1 hour and 15 minutes to walk back home. If Emily c      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 395892: Here is the word problem I am having complications solving: "It took Emily 25 minutes to ride her bicycle to the repair shop and 1 hour and 15 minutes to walk back home. If Emily can ride her bicycle 8km/h faster than she can walk, how far is the repair shop from her house?" Please help me on this word problem. Thanks in advanced!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
It took Emily 25 minutes to ride her bicycle to the repair shop and 1 hour and
15 minutes to walk back home.
If Emily can ride her bicycle 8km/h faster than she can walk, how far is the
repair shop from her house?"
:
Change 25 min: 25/60 = 5%2F12 hrs
Change 1 hr 15 min to: 5%2F4 hrs
:
First find out how fast she can walk
let s = walking speed
then
(s+8) = biking speed
:
The distance riding and distance walking are the same, write a dist equation:
dist = speed * time
:
5%2F12(s+8) = 5%2F4s
Multiply both sides by 12 to get rid of the denominators
5(s+8) = 3(5s)
5s + 40 = 15s
40 = 15s - 5s
40 = 10s
s = 4 mph is her walking speed
then
4 + 8 = 12 mph is her biking speed
:
Find the distance
5%2F4 * 4 = 5 mi is the distance to the repair shop
:
Check the distance
5%2F12 * 12 = 5 mi; confirms our solution