A train of length 200 meters is moving the speed of 90 km/hr and it overtakes another train of length 250 meters moving at the speed of 60 km/hr in the same direction. How much time will the first train take to overtake the second train?

Correct option is C

Given:
Length 1 = 200 m, Speed 1 = 90 km/hr
Length 2 = 250 m, Speed 2 = 60 km/hr
Formula Used:
Relative Speed = S1 - S2 (same direction)
Time = $$\frac{Total\ Distance}{Relative\ Speed}$$​​
Solution:
The total distance to cover to overtake is the sum of the lengths of both trains.
Total distance = 200 + 250 = 450 m
Relative speed = 90 - 60 = 30 km/hr
Convert relative speed to m/s by multiplying with $$\frac{5}{18}$$​​
Relative speed = $$30 × \frac{5}{18} = \frac{150}{18} = \frac{25}{3}$$​ m/s
Calculate the time taken.
Time taken = $$\frac{450}{\frac{25}{3}}$$​​
 =$$\frac{450 × 3}{25}$$​ = 18 × 3 = 54 seconds
Final Answer
So the correct answer is (c)