Question

How long will a train 100m long and travelling at a speed of 45 km/h , take to cross a platform of length 150 m ?

Answer 1

Given:-

• Speed = 45 km/hr.
• Length of train = 100 m
• Length of platform = 150 m.

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To find:-

• The time taken to cross the platform.

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Solution:-

★The total distance need to be covered:-

→ 100 + 150

→ 250 m

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→ Speed = 45 km/hr

→ Speed = 12.5 m/s

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★Formula used:-

Time = Distance/speed

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→ Time = 250/12.5

→ Time = 20 sec

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Hence,

• the time taken to cross the platform is 20 seconds.

Answer 2

Given :-

→ Length of the train = 100m

→ Speed of the train = 45 km/h

→ Length of platform = 150 m

To Find :-

→ Time it will take to cross that platform

Solution :-

→ Total Distance to be covered by the train = Length of platform + Length of the train

Total Distance = 100m + 150m

⇒ 250m

→ Now , let's convert the speed of train in m/s

$\sf \implies \dfrac{45\times1000}{3600}$

$\sf \implies \dfrac{50}{4} = 12.5 \; m/s$

→ As we know that

$\underline{\bf{\dag} \:\mathfrak{Time\;taken=\dfrac{Distance}{Speed} }}$

$\sf \implies \dfrac{250}{12.5}$

$\sf \implies 250 \times \dfrac{10}{125}$

$\sf \implies 2 \times 10$

$\sf \implies 20 \; seconds$

∴ The train will take 20 secs to cross the platform

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