SOLUTION: Can someone help me understand how to answer this problem. I think the answer is 50.4 miles.
A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18
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A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18
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Question 99946: Can someone help me understand how to answer this problem. I think the answer is 50.4 miles.
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. Found 2 solutions by checkley71, ankor@dixie-net.com:Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website! 24X=18(4.9-X)
24X=88.2-18X
24X+18X=88.2
42X=88.2
X=88.2/42
X=2.1 HOURS GOING @ 24 MPH OR:
24*2.1=50.4 MILES GOING
18(4.9-2.1)=18*2.8=50.4 MILES RETURNING
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 = distance to the nearby town
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Write a time equation: Time = Distance/speed
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Time to + time back = 4.9 + = 4.9
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Choose a multiple of both denominators, multiply equation by 72:
72* + 72* = 72(4.9)
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Cancel out the denominators:
3d + 4d = 352.8
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d = 352.8/7
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d = 50.4 mi; which is what you got. Way-to-Go!!!
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