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

Algebra ->  Human-and-algebraic-language -> SOLUTION: A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby tow      Log On


   



Question 173306: A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the round 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
6.3=D/32+D/10
6.3=(10D+32D)/320
42D=6.3*320
42D=2,016
D=48 MILES IS THE DISTANCE TO THE NEARBY TOWN.
PROOF:
6.3=48/32+48/10
6.3=1.5+4.8
6.3=6.3