Question

2. a train crosses a pole in 15 seconds while it crosses 100 mtr. Long plat form in 25 sec. The length of the train is

Answer 1

Hi there!
Here's the answer:

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Given,
Time taken by train to cross a pole = 15 sec
Length of platform = 100 m
Time taken by train to cross the platform = 25 sec


¶¶¶ $Speed\: of \: Train= \frac{Distance\: Covered}{Time\: Taken}$


Let length of train be ' x ' m
& speed of train be ' y ' m/sec

• Speed of train:

$y = \frac{x}{15}$ ---------(1)


• Speed of train:

$y = \frac{x+100}{25}$---------(2)


Equate (1) & (2)

$\frac{x}{15} = \frac{x+100}{25}$

=> $25x = 15(x+100)$

=> $5x = 3(x+100)$

=> $5x = 3x + 300$

=> $2x = 300$

=> $x = 150$


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$\underline{\underline{Length\: of\: train = 150 mts}}$

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Hope it helps