SOLUTION: 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

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Question 67233This question is from textbook Advanced mathematics
: 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? This question is from textbook Advanced mathematics

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
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.