Two trains start at the same time from Aligarh and Delhi and proceed towards each other at the rate of 14 kmph and 21 kmph respectively. When they meet, it is found that one train has travelled 70 km more than the other. The distance between two stations is
1). 350 km
2). 140 km
3). 210 km
4). 300 km
Let the total distance between Aligarh and Delhi be X.
Since the trains are traveling in opposite directions, relative speed = 14 + 21 = 35 kmph
Time after which the trains meet = X/35
Distance travelled by the first train = 14 × X/35 = 2X/5
Distance travelled by the second train = 21 × X/35 = 3X/5
3X/5 – 2X/5 = 70
⇒ X = 350