The speeds of train A and train B are in the ratio 6:5. The lengths of train A and train B are 720 meters and 600 meters respectively. If they move in opposite directions and cross each other in 24 seconds, find the speed of train B in meters per second.

ATQ, Length of train A = 720 meters. Length of train B = 600 meters. When two trains cross each other while running in opposite directions, they cover the sum of their lengths. Total distance covered while crossing = 720 + 600 = 1320 meters. Time taken to cross each other = 24 seconds. Relative speed = Total distance ÷ Time. Relative speed = 1320 ÷ 24 = 55 meters per second. Since the trains are running in opposite directions, relative speed = speed of train A + speed of train B. The ratio of speeds of train A and train B = 6:5. Total speed ratio parts = 6 + 5 = 11 parts. So, 11 parts = 55 meters per second. 1 part = 55 ÷ 11 = 5 meters per second. Speed of train B = 5 parts = 5 × 5 = 25 meters per second.