Question : Two trains, 80 m and 120 m long, are running at the speeds of 25 km/hr and 35 km/hr, respectively in the same direction on parallel tracks. How many seconds will they take to pass each other?
Option 1: 48
Option 2: 64
Option 3: 70
Option 4: 72
Correct Answer: 72
Solution :
Distance to be covered = 80 + 120 = 200 m
Relative speed = 35 – 25 = 10 km/hr = 10 × $\frac{5}{18}$ = $\frac{50}{18}$ m/s
$\therefore$ Time taken to pass = $\frac{\text{Sum of the length of the trains}}{\text{Relative Speed}}=\frac{200}{\frac{50}{18}}$ = 72 seconds
Hence, the correct answer is 72 seconds.
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