SOLUTION: Karin biked at 13 mph for a time but got a flat tire. She then walked 5pmh. She traveled a total of 93 miles. Had she biked the whole time, she would have gone 117 miles. How many

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Karin biked at 13 mph for a time but got a flat tire. She then walked 5pmh. She traveled a total of 93 miles. Had she biked the whole time, she would have gone 117 miles. How many       Log On

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Question 248668: Karin biked at 13 mph for a time but got a flat tire. She then walked 5pmh. She traveled a total of 93 miles. Had she biked the whole time, she would have gone 117 miles. How many hours did she walk?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Karin biked at 13 mph for a time but got a flat tire.
She then walked 5pmh. She traveled a total of 93 miles
Had she biked the whole time, she would have gone 117 miles.
How many hours did she walk?
:
Find the time if she biked the whole time
117%2F13 = 9 hrs
:
Let x = distance she walked
then
(93-x) = distance she biked
:
write a time equation; Time = dist/speed
:
Walk time + bike time = 9 hrs
x%2F5 + %28%2893-x%29%29%2F13 = 9
Multiply equation by 65, results
13x + 5(93-x) = 65(9)
13x + 465 - 5x = 585
13x - 5x = 585 - 465
8x = 120
x = 120%2F8
x = 15 mi she walked
:
:
Check solution: (bike dist: 93 - 15 = 78 mi)
15%2F5 + 78%2F13 =
3 + 6 = 9 hrs