SOLUTION: The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travels 300 miles in the same time it takes the freight train to travel 250 mi

Question 396886: The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travels 300 miles in the same time it takes the freight train to travel 250 miles. Find the speed of each train.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travels 300 miles in the same time it takes the freight train to travel 250 miles. Find the speed of each train.
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Passenger train DATA:
distance = 300 miles ; rate = x+10 mph ; time = 300/(x+10) hrs.
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Freight train DATA:
distance = 250 miles ; rate = x mph ; time = 250/x hrs
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Equation:
time = time
300/(x+10) = 250/x
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6/(x+10) = 5/x
6x = 5x + 50
x = 50 (rate of the freight train)
x+10 = 60 (rate of the passenger train)
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Cheers,
Stan H.
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