SOLUTION: the hiking club hiked to a state park at 4mph. they got aride back to town in a truck that wnt 20mph. If the round trip took 18 houers, how tar was it from town to the park. My q

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Question 669535: the hiking club hiked to a state park at 4mph. they got aride back to town in a truck that wnt 20mph. If the round trip took 18 houers, how tar was it from town to the park.
My question is how to write the equetions to solve this problem?

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
the hiking club hiked to a state park at 4 mph.
they got a ride back to town in a truck that went 20 mph.
If the round trip took 18 hrs, how far was it from town to the park.
:
Let d = distance to the park and distance back to town
:
Write a time equation; time = dist/speed
:
Walk time + ride time = 18 hrs
+ = 18
multiply by 20, cancel the denominators and you have:
5d + d = 20(18)
6d = 360
d = 360/6
d = 60 mi
:
:
See if that checks out, find the times
60/4 = 15 hrs
60/20 = 3 hrs
---------------
tot time 18 hrs

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