A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is: Options: A . &nbsp50 m B . &nbsp150 m C . &nbsp200 m D . &nbspData inadequate

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds

Question

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

Options:

A . 50 m

B . 150 m

C . 200 m

D . Data inadequate

Answer: Option B

Let the length of the train be x metres and its speed by y m/sec.

Then,\(\frac{x}{y} = 15 \Rightarrow y = \frac{x}{15}\)

Thairfor \(\frac{x+100}{25} = \frac{x}{15}\)

15(x + 100) = 25x

15x + 1500 = 25x

1500 = 10x

x = 150 m.

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