SOLUTION: Rachel's bike got a flat tire and she must walk the rest of the way to work. The bike was being riden at 10 mph. The distance from home to work is 22 miles and the total time for t

Question 871982: Rachel's bike got a flat tire and she must walk the rest of the way to work. The bike was being riden at 10 mph. The distance from home to work is 22 miles and the total time for the trip was 3 hours. How far did she have to walk?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Rachel's bike got a flat tire and she must walk the rest of the way to work.
The bike was being ridden at 10 mph.
The distance from home to work is 22 miles and the total time for the trip was 3 hours.
How far did she have to walk?
:
Seems that we have to have her walking speed
let s = walking speed
:
Let d = distance walked
Then
(22-d) = distance rode
:
Write a time equation, time = dist/speed
ride time + walk time = 3 hrs
+ = 3
multiply equation by 10s
s(22-d) + 10d = 10s(3)
22s - sd + 10d = 30s
-sd + 10d = 30s - 22s
-sd + 10d = 8s
d(-s+10) = 8s
d =
Choose the the walking speed, s, to find d, the distance walked
:
For example if she walked at 4 mph
d =
d =
d = 5 miles walked
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