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Question

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?


A
250m
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B
300m
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C
350m
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D
120m
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Solution

The correct option is C $$350 m$$
Let the length of the platform be $$x$$ metres

Length of the platform$$=300m$$

Speed of the train $$=\dfrac{300}{18}$$

                                $$=\dfrac{50}{3}m/s$$

$$\dfrac{50}{3}=\dfrac{x+300}{39}$$

$$50\times39=3x+900$$

$$1950=3x+900$$

$$3x=1950-900$$

$$3x=1050$$

$$x=\dfrac{1050}{3}$$

$$x=350$$

So, the length of of the platform, $$x=350m$$


Mathematics

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