SOLUTION: Tom took a trip of 1,020 miles. He traveled by train at 55mph and the same number of hours by plane at 285mph. How many hours did the trip take?
I tried T=d/r 1020/55=18.545
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I tried T=d/r 1020/55=18.545
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Question 202676: Tom took a trip of 1,020 miles. He traveled by train at 55mph and the same number of hours by plane at 285mph. How many hours did the trip take?
I tried T=d/r 1020/55=18.545 1020/285=5.18 18.545+5.18=23.73 Found 2 solutions by rfer, stanbon:Answer by rfer(16322) (Show Source):
You can put this solution on YOUR website! x=time for each
55x+285x=1020
340x+1020
x=3 hrs for each
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55*3=165
285*3=855
total=1020
You can put this solution on YOUR website! Tom took a trip of 1,020 miles. He traveled by train at 55mph and the same number of hours by plane at 285mph. How many hours did the trip take?
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Train DATA:
distance = x miles ; rate = 55 mph ; time = x/55 hrs
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Plane DATA:
distance = 1020-x miles ; rate = 285 mph ; time = (1020-x)/285 hrs
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Equation:
train time = plane time
x/55 = (1020-x)/285
Cross-multiply to get:
285x = 55(1020-x)
285x = 55*1020 - 55x
340x = 55*1020
x = 165 miles
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train time = 165/55 = 3 hrs
plane time = (1020-165)/285 = 3 hrs
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Total time = 6 hrs.
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Cheers,
Stan H.
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