SOLUTION: sally walked(4miles per hour) frome home to the bike shop. She then rode her newly repaired bike home(at 12 miles per hour)if the round trip took a total of 2 and 1/2 hours how far

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Question 272431: sally walked(4miles per hour) frome home to the bike shop. She then rode her newly repaired bike home(at 12 miles per hour)if the round trip took a total of 2 and 1/2 hours how far does sally bike from the bike shop? how do i go about setting this up? thank u
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
D=4*T FOR THE WALK
D=12(T-2.5)
BECAUSE THE DISTANCES ARE EQUAL SET THE 2 EQUATION EQUAL
4T=12(T-2.5)
4T=12T-30
4T-12T=-30
-8T=-30
T=-30/-8
T=3.75 HOURS FOR THE WALK.
4*3.74=15 MILES FROM HOME TO THE BIKE SHOP.
SAME FOR THE RETURN BIKE RIDE.
PROOF:
15=12(3.75-2.5)
15=12*1.25
15=15