Question

A train passes two persons who are walking in the direction opposite which the train is moving, at the rate of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train and speed of the train.

• A. 140 m, 10 m/s
• B. 150 m, 20 m/s
• C. 150 m, 30 m/s
• D. 140 m, 40 m/s

Answer 1

Answer:

B. 150 m, 20 m/s

Length of train=Difference in speed X (time1 x time2) /(time1- time2) =(10-5)x 6 x 5/6 - 5 =150m Speed of train be x m/s (x+5) x 6 = ( x+10)5 => 6x + 30 = 5x + 50 => x =50 - 30 = 20m/s