Question

A train passes a station platform in$36seconds$and a man standing on the platform in $20seconds$. If the speed of the train is $54km/hr.$ What is the length of the platform?

Answer 1

Step 1: Find the length of the train.

Speed$=(54x5/18)m/sec$

Speed$=15m/sec$

Length of the train$=(15x20)m$

We get,

Length of the train $=300m$

Step 2: Calculate the length of the platform.

Let$xmetres$ be the length of the platform.

Then,

$$\begin{gathered} \frac{(x+300)}{36}=15 \\ x+300=15x36 \\ x+300=540 \\ x=540–300 \\ x=240 \end{gathered}$$

Hence, $240m$ is the length of the platform.