<PRE><B>Question 396886</B>
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.</PRE>