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
B
300m
C
350m
D
120m

Solution

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