Question : An 800-metre-long train can pass a stationary pole completely in 72 seconds. A 1200 -metre-long train can also pass a stationary pole completely in 72 seconds. If both the trains are running in the same direction, then the faster train, coming from behind the slower train, can cross the slower train in how much time?
Option 1: 240 seconds
Option 2: 360 seconds
Option 3: 280 seconds
Option 4: 480 seconds
Correct Answer: 360 seconds
Solution :
The speed of the 800-metre-long train = $\frac{800}{72}\ m/s$
The speed of the 1200-metre-long train = $\frac{1200}{72}\ m/s$
Relative speed of Train B with respect to Train A = $\frac{1200}{72}-\frac{800}{72}$
= $\frac{400}{72}\ m/s$
Total distance is 800 m + 1200 m = 2000 m
The time taken by Train B to cross Train A = $\frac{\text{Total distance}}{\text{Relative speed}}$
= $\frac{2000}{\frac{400}{72}}$
= 360
Hence, the correct answer is 360 seconds.
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