Problema Solution
The speed of a passenger train is 6mph faster than a freight train. The passenger train travels at 300 miles in the same time it takes the freight train to travel 270 miles. Find the speed of each train.
Answer provided by our tutors
let freight train speed be x mph
passanger train will be x+6 mph
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distance traveled by freight train =270 miles
passanger train travels 300 miles.
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Time taken by freight train = 270/x
time taken by passenger train = 300/x+6
..
the times are same
270/x = 300(x+6)
270(x+6)=300x
270x+1620=300x
300x-270x=1620
30x= 1620
x=1620/30
x=54 mph speed of freight train
passanger train speed = x+6 = 54+6 = 60 mph