The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travels 340 in the same time it takes the freight train to travel 290 miles. Find the speed of each train?

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Oddman answered
If the passenger train travels 50 miles further at a speed that is 10 mph faster, then the travel time of each train is (50 mi)/(10 mi/hr) = 5 hr.

The speed of the passenger train is (340 mi)/(5 hr) = 68 mi/hr.
The speed of the freight train is (290 mi)/(5 hr) = 58 mi/hr.    (= 68 mph - 10 mph)

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