SOLUTION: I am not good at all with word problems and need some help

Question 88711: I am not good at all with word problems and need some help

Answer by malakumar_kos@yahoo.com(315) (Show Source): You can put this solution on YOUR website!

A passaenger train can travel 325 miles in the sametime a freight train takes to travel 200 miles. If the speed of the passenger train is 25 miles/h faster than the speed of the freight train . Find the speed for each.
Let the speed of the frieght train be = x miles/hr
Then the speed of the passenger train = x+25 miles/hr
Distance travelled by frieght train is = 200 miles

Distance travelled by passenger train is = 325 miles
time taken by both the trains is same .
therefore time taken by frieght train = time taken by passenger train

time taken = distance travelled/speed
i.e, 200/x = 325/(x+25)
200(x+25) = 325(x)
200x+5000 = 325x
325x-200x = 5000
125x = 5000 or x = 5000/125
x = 40 miles/hr
Therefore the speed of Frieght train = 40 miles/hr
the speed of passenger train = 40+25 = 65 miles/hr
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