SOLUTION: A cyclist traveled at arate of 32mph to visit a nearby town. The cyclist averaged 10 mph on hte return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
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-> SOLUTION: A cyclist traveled at arate of 32mph to visit a nearby town. The cyclist averaged 10 mph on hte return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
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Question 191893: A cyclist traveled at arate of 32mph to visit a nearby town. The cyclist averaged 10 mph on hte return trip. If the round trip took 6.3 hours, find the distance to the nearby town. Answer by tvandenberg(45) (Show Source):
You can put this solution on YOUR website! The trip is "x" miles each way.
Since time = distance / speed,
x / 32 + x / 10 = 6.3
Let's do this without a calculator. Chose a common denominator, 160.
5x / 160 + 16x / 160 = 6.3
21x / 160 = 6.3
21x / 16 = 63
x = 63 * 16 / 21 = 3 * 16 = 48
The town is 48 miles away.
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