A train takes 11 sec and 10 sec to cross two men who are walking in same direction at the speed of 5 km/hr and 4 km/hr respectively. Find speed of the train . |
20 km/hr 30 km/hr 10 km/hr 15 km/hr |
15 km/hr |
Distance = Speed × Time Let speed of train = a km/hr When train and the man with speed 5 km/hr move in same direction Relative speed = ( a - 5 ) km/hr Distance = ( a - 5 ) × 10 ---------- ( 1 ) When train and the man with speed 4 km/hr move in opposite direction Relative speed = ( a - 4 ) km/hr Distance = ( a - 4 ) × 5 ------------- ( 2 ) Distance is same . so put equation 1 and 2 equal ( a - 5 ) × 11 = ( a - 4 ) × 10 11a - 55 = 10a - 40 a = 15 km/hr |