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Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
  • a)
    12 sec
  • b)
    24 sec
  • c)
    48 sec
  • d)
    60 sec
Correct answer is option 'B'. Can you explain this answer?
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To find the time taken by the slower train to pass the driver of the faster train, we need to calculate the relative speed of the two trains.

Given:
Length of each train = 500 m
Speed of the faster train = 45 km/hr
Speed of the slower train = 30 km/hr

Step 1: Convert speeds from km/hr to m/s
Speed of the faster train = 45 km/hr = (45 * 1000) / 3600 = 12.5 m/s
Speed of the slower train = 30 km/hr = (30 * 1000) / 3600 = 8.33 m/s

Step 2: Calculate the relative speed
Relative speed = Speed of the faster train + Speed of the slower train
Relative speed = 12.5 m/s + 8.33 m/s = 20.83 m/s

Step 3: Calculate the time taken to pass the driver
Time = Distance / Relative speed
Distance = Length of one train + Length of the other train = 500 m + 500 m = 1000 m

Time = 1000 m / 20.83 m/s ≈ 48 seconds

Therefore, the time taken by the slower train to pass the driver of the faster train is approximately 48 seconds.

So, the correct answer is option 'B' - 24 seconds.
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Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.a)12 secb)24 secc)48 secd)60 secCorrect answer is option 'B'. Can you explain this answer?
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