Question:

A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling

Updated On: Oct 1, 2024
  • 57 km/h
  • 60 km/h
  • 63 km/h
  • 55 km/h
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The Correct Option is B

Solution and Explanation

The correct option is (B): 60km/h
To find the speed of the train, let's break down the problem:

- Number of posts counted = 21
- Distance between each post = 50 meters

Step 1: Calculate the total distance covered in one minute
- If there are 21 posts, the train has passed through 20 gaps between the posts (since the distance between the posts is counted, not the posts themselves).
- The total distance covered in 1 minute is:
\[ \text{Distance} = 20 \times 50 = 1000 \text{ meters}\]

Step 2: Convert the distance covered in one minute to kilometers per hour
- Distance covered in one minute = 1000 meters = 1 kilometer
- Since 1 minute is \(\frac{1}{60}\) of an hour, the speed of the train in kilometers per hour (km/h) is:
 \[ \text{Speed} = 1 \text{ kilometer} \times 60 = 60 \text{ km/h}\]

Conclusion: The speed of the train is 60 km/h.

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