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.?
Aptitude
Problems on Trains
Choose an option
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A190 km
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B200 km
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C145 km
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D225 km
Answer
Correct Answer: 200 km
Explanation
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