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From station M and N, two trains start moving towards each other at speed 125 km/h and 75 km/h, respectively. When the two trains meet each other, it is founds that one train covers 50 km more than another. Find the distance between M and N. ?
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- 190 km
- 200 km
- 145 km
- 225 km
Correct Option: B
Let the trains meet after time t at a distance x from station N.
Then another train coming from station M covers a distance of (x + 50)
For station M,
(x + 50) = 125t
⇒ x = 125t - 50 ..(i)
For station N,
x = 75t .....(ii)
From Eqs. (i) and (ii), we get
75t = 125t - 50
⇒ t = 1h
Distance between station M and N = 125 + 75t = 200 x 1 = 200 km
