Two buses running in opposite directions cross a lady standing on the platform in 54 seconds and 34 seconds respectively. If they cross each other in 46 seconds, what is the ratio of their speeds?
3:2
Let the speed of the buses be x and y respectively.
Length of 1st bus = 54x
Length of 2nd bus = 34y
Relative speed = x + y
Time taken to cross each other = 46 sec
=> 54x+34yx+y=46
=> (54x + 34 y) = 46 (x + y)
=> 4x = 6y
=> xy=64=3:2