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

Question 276924: Karin biked at 13 mph for a time but got a flat tire. She then walked at 5 mph. 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) (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 at 5 mph. 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?
:
Let b = biking time
Let w = walking time
:
Write a distance equation for each scenario
13b + 5w = 93
13(b+w) = 117
:
13b + 13w = 117
13b = 5w = 93
--------------------subtraction eliminates b, find w
0b + 8w = 24
w =
w = 3 hrs walking time
:
:
To check solution find biking time
13b + 5(3) = 93
13b + 15 = 93
13b = 93 - 15
13b = 78
b =
b = 6 hrs on the bike
:
using the all bike equation
13(6 + 3) = 117

RELATED QUESTIONS
Karin biked at 13 mph for a time but got a flat tire. She then walked at 5 mph. She... (answered by checkley71)

Karin biked at 13 mph for a time but got a flat tire. She then walked at 5 mph. She... (answered by ankor@dixie-net.com)

Solve the problem. Karin biked at 13 mph for a time but got a flat tire. She then walked... (answered by ankor@dixie-net.com)

Karin biked at 13 mph for a time but got a flat tire. She then walked 5pmh. She traveled... (answered by ankor@dixie-net.com)

Karen biked at 13 mph for a time but got a flat tire. She then walked at 5 mph. She... (answered by scott8148)

cindy biked @ 10phr for time and got a flat tire. she walked at 6mph. she has traveled... (answered by solver91311)

Sandy biked @ 15 mph for a time then walked @ 5 mph. She traveled a total of 75 miles.... (answered by lynnlo)

Baolia rode 12 mph for part of her 33 mile bike trip, but then she walked the rest... (answered by jorel1380)

Lisa's bike got a flat tire and she must walk the rest of the way to work. The bike was... (answered by ankor@dixie-net.com)