SOLUTION: A cyclist traveled at a rate of 24mph to visit a nearby town. The cyclist averaged 18mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby tow

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Question 136601: A cyclist traveled at a rate of 24mph to visit a nearby town. The cyclist averaged 18mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
I am not sure how to work this one. I know that D=R(T). But I am confused because I have a combined round trip time instead of a time going and a time coming back.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
Time for outbound trip:
Time for return trip:
Distance to/from destination:

For the outbound trip: , but that can be expressed as
For the return trip:

But , so

LCD for 24 and 18 is 72 (3 * 24 = 4 * 18 = 72)







Check:
Outbound trip:
Return trip:

Answer checks.

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