Question

5. The distance between two stations A and B is 540 km. Two trains start simultaneously from
these stations on parallel tracks to cross each other. The speed of one of them is greater
than the other by 5 km/h. If the distance between these two trains after 3 hours of their
start is 165 km, find the speed of each train.
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Answer 1

Answer:

Let Speed of first train is (s1) = x

Speed of second train is (s2) = x+5

Time = 3hrs

Distance = Speed × Time

Distance traveled by first train (D1) = S1 × T = x × 3 m

Distance traveled by second train (D2) = S2 × T = (x+5)×3= 3x+15

Total distance between two trains = D1 +D2 + distance start

540 = 3x + 3× + 15 + 165

540 = 6x + 180

540 - 180 = 6x

360 = 6x

x = 60 m/s

So , speed of first train is 60 m/s

speed of second train is = (x+5)= 60+5 = 60m/s.