Question

Gautam is standing at a platform. A 250-m long train traveling at a speed of 50 km/hr approaches him. In how much time the train will cross him completely?
Answer is 18 seconds explain step by step.
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Answer 1

Answer:

Length of the train = 250 m

Speed =50 km/hr = 50 *5/18 m/sec = 13.89 m/sec

The train will cross the man completely in 250 m/13.89 m sec-1 = 17.99m

Answer. = 17.99m

Answer 2

$\huge\underline\mathfrak\red{Question}$

A 250-m long train traveling at a speed of 50 km/hr approaches him. In how much time the train will cross him completely?

$\huge\underline\mathfrak\green{Answer}$

Note that the length of the tarin is given by the formula,

Length of train =(speed of train+speed of man) ×time taken to cross the man.

Here the man is standing on the platform, so his speed is 0.

$so........................ \\ time = \frac{length \: of \: train}{speed \: of \: train } \\ \\ 50 \: km \: h = \frac{50 \: km}{1 \: hr} \\ = \frac{50 \times 1000 \: m}{1 \times 3600 \: sec} \\ = \frac{500}{36}m \: sec \\ = 138.9 \: m \: sec \\ \\ now................... \\ = \frac{250}{13.89 \: m \: sec} \\ = \frac{250}{13.89} sec \\ = 17.99 \: sec = 18 \: sec$

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