Two trains start at same time from two stations towards each other at the speed of 30 km/hr and 27 km/hr . At the time of meeting the faster train covers 30 km more distance than other . Find the distance between two stations . |
570 km 440 km 520 km 540 km |
570 km |
Let time of travelling be t hours Distance travelled by train with speed 30 km/hr = 30 × t = 30t Distance travelled by train with speed 27 km/hr = 27 × t = 27t According to question , Difference in distance travelled by two trains = 30 km 30t - 27t = 30 3t = 30 ⇒ t = 10 Distance between two stations is = 30t + 27t = 57 × 10 = 570 km |