SOLUTION: The fast freight made the trip in 10 hours while the slow freight took 12 hours for the same trip. How long was the trip if the fast freight was 10kph faster than the slow freight

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Question 668614: The fast freight made the trip in 10 hours while the slow freight took 12 hours for the same trip. How long was the trip if the fast freight was 10kph faster than the slow freight?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The fast freight made the trip in 10 hours while the slow freight took 12 hours for the same trip. How long was the trip if the fast freight was 10kph faster than the slow freight?
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Fast freight DATA:
time = 10 hrs ; distance = x km ; rate = d/t = x/10 kmh
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Slow freight DATA:
time = 12 hrs ; distance = x km ; rate = d/t = x/12 kmh
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Equation:
rate - rate = 10 kmh
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x/10 - x/12 = 10
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12x - 10x = 1200
2x = 1200
x = 600 km (distance)
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Cheers,
Stan H.