Question : Two trains of lengths 200 m and 250 m are running on parallel rail tracks at speeds of 68 km/hr and 50 km/hr, respectively. In how much time (in seconds) will they cross each other if they are running in the same direction?
Option 1: 90
Option 2: 85
Option 3: 80
Option 4: 75
Correct Answer: 90
Solution :
Total distance = 200 + 250 = 450
Relative speed
= 68 – 50
= 18 km/hr
= $18\frac{5}{18}$
= 5 m/s
Total time taken = $\frac{\text{Total distance}}{\text{Relative speed}}$
= $\frac{450}{5}$
= 90 seconds
Hence, the correct answer is 90.
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