Correct Answer - Option 2 : 2 : 3
Given:
Both trains running in the opposite direction
Both trains cross the man in 48 seconds and 38 seconds
Formula used:
Speed= distance/time
Relative speed = when train in opposite direction = (x+y) m/s
Calculation:
Let the speed of trains be x m/s and y m/s respectively
Length of the first train = speed × time = 48x
Length of the second train = speed × time = 38y
\(\frac{{48x + 38y}}{{x + y}} = 42\)
⇒\(48x + 38y = 42x + 42y\)
⇒ \(6x = 4y\)
⇒\(\frac{x}{y} = \frac{2}{3}\)
∴ The ratio of the speed of the trains is 2 : 3