SOLUTION: The speed of a passenger train is 14 mph faster than the speed of a freight train. The passenger train travels 250 miles in the same time it takes the freight train to travel 180 m

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Question 482188: The speed of a passenger train is 14 mph faster than the speed of a freight train. The passenger train travels 250 miles in the same time it takes the freight train to travel 180 miles. Find the speed of each train.
Answer by emargo19(101) (Show Source):
You can put this solution on YOUR website!
*******The speed of a passenger train is 14 mph faster than the speed of a freight train,******
Therefore,
Spd of freight train=x
Spd of passanger train =x+14

*****The passenger train travels 250 miles in the 'same time' it takes the freight train to travel 180 miles.*****
So we know that
Distance travelled by passenger train =250miles
Distance travelled by freight train= 180 miles
Let T be the Time which is the same for both trains to travel their respective distances.

------------------------

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Freight train:

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Passanger Train:

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So,

**********(we leave the time(t) out as it is the same)*********
=250x

So speed of Freight Train=36mph.
Spd of passanger Train===50mph.

******Same Problem Without all the explanation*********

Passenger train:
distance = 250 miles ; rate = x+14 mph ; time = 250/(x+14) hrs.
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Freight train:
distance = 180 miles ; rate = x mph ; time = 180/x hrs
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Equation:
time = time

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x = 36 (rate of the freight train)
x+14 = 50 (rate of the passenger train)