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

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?
---------------------
To the fountain DATA:
distance= 36 miles; rate = x ; time= d/r= 36/x hrs.
-----------------
Trip from the fountain DATA:
distance= 36 miles; rate = 2x ; time = d/r = 36/2x = 18/x hrs
---------
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.

RELATED QUESTIONS
Alice borrowed a bicycle from her friend, Bob, and wanted to return it. She rode the... (answered by ankor@dixie-net.com)

On the 24-mile trip to school, Brandon sauntered at a leisurely pace. Thus, he had to... (answered by ptaylor)

Alice drives from Finley, Ohio to Richmond, Indiana to drop her sister off at school... (answered by Alan3354)

Alice drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by josgarithmetic)

Alice walked 5 kmh. On the return trip she walked at a rate of 3 kmh. The return trip... (answered by ewatrrr)

Emily and Ernie are going to job on a quarter-mile track. Emily can jog at a pace of 0... (answered by ankor@dixie-net.com)

nathan ran 2.5 miles at a pace of 7 minutes 36 seconds per . if he wishes to complete the (answered by greenestamps)

Using the Bar Model Method, solve this question: Alice spent 80% of her money and Ben... (answered by greenestamps)

In his search for the fountain, Ponce ambled for 1 year at a leisurely pace and then... (answered by josmiceli)