SOLUTION: a cyclist traveled at at rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the trip took 6.3 hours, find the distance to the nearby town.

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Question 203512: a cyclist traveled at at rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the trip took 6.3 hours, find the distance to the nearby town.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT OR T=D/R
X/32+X/10=6.3
(10X+32X)/(10*32)=6.3
42X/320=6.3
42X=6.3*320
42X=2,016
X=2,016/42
X=48 MILES IS THE DISTANCE TO THE NEARBY TOWN.
PROOF:
48/32+48/10=6.3
1.5+4.8=6.3
6.3=6.3