Question

A train travelling at 36 km per hour took 15 seconds in passing a standing man. Length of the train is ____.

• A. 50 mts
• B. 150 mts
• C. 100 mts
• D. 200 mts

Hint:

For train problems: Passing a man → Distance = Train length. Passing a platform → Distance = Train length + Platform length.

Answer 1

The Correct Option is B

Concept: When a train passes a standing man, the distance covered is equal to the length of the train. Formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \] Here:

• Speed = \(36\) km/hr

• Time = \(15\) sec
Step 1: Convert speed into m/s.
We know: \[ 1 \text{ km/hr} = \frac{5}{18} \text{ m/s} \] So, \[ 36 \times \frac{5}{18} \] \[ = 10 \text{ m/s} \]

Step 2: Apply distance formula.
\[ \text{Distance} = \text{Speed} \times \text{Time} \] Substituting: \[ = 10 \times 15 \] \[ = 150 \text{ m} \]

Step 3: Interpret the result.
Since the train passes a standing man, the distance travelled equals the train’s full length. Thus, \[ \text{Length of train} = 150 \text{ m} \]

Step 4: Final conclusion.
Hence, the correct answer is: \[ \boxed{150 \text{ mts}} \]