Question

A 160m long train passes a railway platform in 18 seconds. How long will it take to pass another platform 100m long?
(Please explain the process in detail. Thank you)​

Answer 1

GIVEN:

• Length of train (Distance) = 160 m
• Time taken by the train (t) = 18 seconds

TO FIND:

• How long will it take to pass another platform 100m long?

SOLUTION:

We have given the length and time taken by the train.

• Distance = 160 m
• Time taken = 18 seconds

To find the speed(s) of the train, we use the formula:-

$\large{\boxed{\bf{\star \: Speed = \dfrac{Distance}{Time} \: \star}}}$

According to question:-

➠ s = $\sf{\cancel\dfrac{160}{18}}$

⠀ ⠀ ❛ Speed = 8.88 m/s (approx) ❜

New Distance = 100 m

Speed of the train = 8.88 m/s

To find the time taken(t) by the train, we use the formula:-

 ❰ $\bf{ Time = \dfrac{Distance}{Speed}}$ ❱

On putting the given values in the formula, we get

➠ t = $\sf{\cancel\dfrac{100}{8.88}}$

⠀ ⠀ ❛ Time = 11.26 sec (approx) ❜

❝ Hence, the train covered the 100 m distance in 11.26 seconds (approx) ❞

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