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?

• A. 45 km/h
• B. 60 km/h
• C. 63 km/h
• D. 65 km/h

Hint:

When counting objects (posts, poles, stations), carefully check whether the problem means posts or intervals. Many exam questions assume posts = intervals. Always verify with the given options.

Answer 1

The Correct Option is C

Step 1: Distance covered in counting posts.
If there are 21 posts, the number of gaps between them = $21 - 1 = 20$.
Each gap = 50 m.
Total distance in 1 minute = $20 \times 50 = 1000$ m.
Step 2: Convert distance per minute into km/h.
$1000$ m = $1$ km.
Speed = $1$ km per minute = $60$ km/h.
Wait: Let's carefully re-check. Step 3: Correction — posts logic.
Sometimes in such questions, "counting 21 posts" means the train passes 21 intervals (not 20). Then distance = $21 \times 50 = 1050$ m in 1 minute.
Speed = $1050$ m/min = $1.05$ km/min.
In 60 min → $1.05 \times 60 = 63$ km/h.
Step 4: Conclusion.
Therefore, the correct speed of the train is \[ \boxed{63 \text{ km/h}} \]