<PRE><B>Question 67233</B>
On the 36-mile trip to the magic fountain, alice walked at a brisk pace.  On the way back, alice doubled her pace.  If the total trip took 6 hours, how fast did alice travel on the trip to the magic fountain and on the return trip from the magic fountain?
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To the fountain DATA:
distance= 36 miles; rate = x ; time= d/r= 36/x hrs.
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Trip from the fountain DATA:
distance= 36 miles; rate = 2x ; time = d/r = 36/2x = 18/x hrs
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EQUATION:
time to + time from = 6 hrs
36/x + 18/x = 6
54/x=6
x=9 mph (rate to the fountain)
2x=18 mph (rate from the fountain)
Cheers,
Stan H.
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