Question:
A man sitting in a train travelling at the rate of 50 km/hr observes that it takes 9 sec for a goods train travelling in the opposite direction to pass him. If the goods train in 187.5 m long, find its speed.
A man sitting in a train travelling at the rate of 50 km/hr observes that it takes 9 sec for a goods train travelling in the opposite direction to pass him. If the goods train in 187.5 m long, find its speed.
Updated On: Sep 25, 2024
- 40 km/hr
- 25 km/hr
- 35 km/hr
- 36 km/hr
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The Correct Option is B
Solution and Explanation
Formula for time take = \(\frac{Distance}{Speed}\)
Time taken = \(\frac{Distance(length \ of\ train)}{Relative\ Speed}\)
Let speed of the train be v km/hr
According to the formula
\(\frac{9}{3600}\) = \(\frac{0.1875}{[50+v]}\)
On solving the above equation,
we get v = 25 km/hr
The correct option is (B)
Time taken = \(\frac{Distance(length \ of\ train)}{Relative\ Speed}\)
Let speed of the train be v km/hr
According to the formula
\(\frac{9}{3600}\) = \(\frac{0.1875}{[50+v]}\)
On solving the above equation,
we get v = 25 km/hr
The correct option is (B)
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