Correct Answer - Option 2 : 110 sec
GIVEN:
Length of Train = 250 meter.
Length of Platform : Length of Train = 3x : 1x
Length of Platform = 750 meter.
Speed of train B = 54 kmph or 15 m/s
ASSUMPTION:
Let the time taken to cross each other = T seconds.
Let speed of Train A = (S) m/s.
FORMULA USED:
Speed of Train = length of Train / Time taken ----(1)
CALCULATION:
From eq(1)
⇒ S = (750 + 250) / 50
⇒ S = 20 m/s or 72 kmph
When Train A and B cross each other.
⇒ (v - vB) = (250 + 300)/T
⇒ T = (250 + 300)/5
⇒ Time = 110 seconds.