a train is moving with a speed of 40 km/h. as soon as another train going in the opposite side passes by the window, the passenger of the first train starts his stopwatch notes that other train passes the window in 3sec. find the speed of the train going in the opposite direction if its length is 75 m.

Let the speed of the train going in the opposite direction be x m/s.

speed of train going in the forward direction is 40 km/h or 100/9 m/s.

relative speed of train going in opposite direction withrespect to the passenger = 100/9 + x.

time taken = 3s.

distance = 75 m.

therefore

 25=100/9 +x.

x=125/9 m/s or 50 km/h.

hence the speed of the train going in the opposite direction is 50 km/h.

approve the answer if helpful.

let the speed of the other train be x ms^-1 .

now as the train goes in the opposite direction according to the man the relative velocity=40+x

now the train passes in 3 sec,

so velocity = distance / time.

(40+x)(5/18)=75/3                     (as the speed is in km/h it is converted to

                                                      m/s by multi with 5/18 to the speed.)

40+x=90

x=50

so the other train is going with the speed of 50km/h.

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