Question

The speed of a passenger train is 12mph faster than the speed of a freight train. The passenger train travels290 miles in the same time it takes the freight train to travel 230 miles. Find the speed of each train.

Freight train=?
Passenger train=?

Answer 1

Let the speed of frt train = x mph
then speed of passng train = (x+12) mph

let the equal time for which they travel be = y hours
Distance coverd by frt train in y hours = speed x time = xy
we are given xy = 230 ----(A)

distance covered by passng train = (x+12)*y = xy + 12y
we are given xy + 12y = 290 -----(B)
substituting xy=230 from (A) in (B), we get
230 +12y = 290
12y = 290-230
y=60/12 = 5

Putting y=5 in (A) we get
5x= 230
x = 230/5 = 46 mph

so speed of frt train is 46 mph
and speed of passngr train = 46+12 = 58 mph

Answer 2

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Answer 3

Let the speed of frt train = x mph
then speed of passng train = (x+12) mph

let the equal time for which they travel be = y hours
Distance coverd by frt train in y hours = speed x time = xy
we are given xy = 230 ----(A)

distance covered by passng train = (x+12)*y = xy + 12y
we are given xy + 12y = 290 -----(B)
substituting xy=230 from (A) in (B), we get
230 +12y = 290
12y = 290-230
y=60/12 = 5

Putting y=5 in (A) we get
5x= 230
x = 230/5 = 46 mph
Speed of frt train is 46 mph
Speed of passnger train = 46+12 = 58 mph

Answer 4

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