SOLUTION: A girl walked from her home into town at the rate of 4 miles per hour. She returned by bus over the same route. The bus averaged 20 miles per hour, and the entire round trip took 1

Question 124672: A girl walked from her home into town at the rate of 4 miles per hour. She returned by bus over the same route. The bus averaged 20 miles per hour, and the entire round trip took 1 hour and 40 minutes, including the 10 minute wait for the bus. How far did the girl walk?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A girl walked from her home into town at the rate of 4 miles per hour. She returned by bus over the same route. The bus averaged 20 miles per hour, and the entire round trip took 1 hour and 40 minutes, including the 10 minute wait for the bus. How far did the girl walk?
:
Let's subtract the 10 min wait; The travel time totals 1.5 hrs
:
Let d = distance walked (and distance by bus)
:
Write a time equation: Time = Distance/speed
:
Walk time + Bus time = 1.5 hrs
+ = 1.5
:
Multiply equation by 20 to get rid of the denominators
5d + d = 20(1.5)
:
6d = 30
d =
d = 5 miles is the distance walked
:
:
Check solution by finding the time
+ =
1.25 + .25 = 1.5
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