Correct Answer - Option 1 : 11/3 m/s
Given:
Speed of train = 72 kmph
Formula used:
Speed = Distance/Time
Relative speed = S1 – S2 (S1, S2 are speed, S1 > S2)
Calculation:
Speed of train = 72kmph = 72 × 5/18 = 20 m/s
Let Length of the platform be A m.
According to the question,
(A + 260)/20 = 25.5
⇒ A = 250 m
Let the speed of passenger train be M m/s.
⇒ (240 + 250)/30 = M
⇒ M = 49/3 m/s
∴ Relative speed of two trains = 20 – 49/3 = 11/3 m/s