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?

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Solution

## Step 1: Find the length of the train.Speed$=\left(54x5/18\right)m/sec$Speed$=15m/sec$Length of the train$=\left(15x20\right)m$We get,Length of the train $=300m$Step 2: Calculate the length of the platform.Let$xmetres$ be the length of the platform.Then,$\frac{\left(x+300\right)}{36}=15\phantom{\rule{0ex}{0ex}}x+300=15x36\phantom{\rule{0ex}{0ex}}x+300=540\phantom{\rule{0ex}{0ex}}x=540–300\phantom{\rule{0ex}{0ex}}x=240$Hence, $240m$ is the length of the platform.

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