X and Y are two stations 250 km apart. A train starts from X and moves towards Y at the rate of 10 km/h. Another train starts from Y at the same time and moves towards X at the rate of 15 km/h. How far from X will they cross each other?
Explanation:
Suppose they meet at a distance of x km. from x.
Distance travelled by the train starting from X = x kms at 10 kmph ∴ Time taken = x/10
Distance travelled by the train starting from Y = (250 - x) kms at 15 kmph ∴ Time taken = (250 - x)/15
Since time taken is same for both trains
⇒ x10=250-x15
⇒ 15x = 2500 - 10x
⇒ 25x = 2500
⇒ x = 100 kms.
Hence, option (a).
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