The distance between two stations, Delhi and Amritsar, is 530 km. A train starts at 4 p.m. from Delhi and moves to Amritsar at an average speed of 80 km/hr. Another train starts from Amritsar at 3.20 p.m. and moves towards Delhi at an average speed of 60 km/hr. How far from Delhi will the two meet?
Explanation:
Suppose the trains meet at a distance of x km from Delhi.
At 4 pm the distance that has to be covered is
530 – 60 × 2 / 3 = 490 km.
The relative speed of the trains is 80 + 60 = 140 km/h.
Time required for covering the distance is 490 / 140 hours.
The train from Delhi will be 80 × 49 / 14 km away from Delhi at the point of meeting. = 40 × 49 / 7 = 280 km.
Hence, option 2 is the correct answer.
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By: Amit Kumar