SOLUTION: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby to
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-> SOLUTION: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby to
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Question 97895: A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! : A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
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Let d = one-way distance to the town
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Write a time equation, Time = dist/speed
: + = 4.9
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Multiply the equation by the least common multiple, 72:
72 + 72 = 72(4.9)
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Cancel out the denominators:
3d + 4d = 352.8
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7d = 352.8
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d = 352.8/7
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d = 50.4 miles
:
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Check solution: + = 4.9
:
2.1 + 2.8 = 4.9
