SOLUTION: A cyclist traveled at a rate of 32 mph to vist 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 town.

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Question 195925: A cyclist traveled at a rate of 32 mph to vist 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 town.


Answer by nerdybill(7384) About Me  (Show Source):
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A cyclist traveled at a rate of 32 mph to vist 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 town.
.
Let x = time it took to get to the town
then
6.3-x = time it took to return
.
Applying the distance formula: d = rt
.
32x = 10(6.3-x)
32x = 63-10x
42x = 63
x = 63/42
x = 1.5 hours
.
Distance to town:
1.5(32) = 48 miles