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A train 280 m long is running at a speed of 56 kmph. How much time will it take for the train to

(i)Cross an electric pole?
(i) Cross a 560 m long bridge?

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Answer 1

Answer

• Time taken by the train to cross the electric pole = 18 second.
• Time taken by the train to cross a 560 m long bridge = 54 seconds.

Given

• Length of train = 280 meters.
• Speed of train = 56 Km/h.

To Find

• Time taken by the train to cross an electric pole.
• Time taken by the train to cross a 560 meter long bridge.

Step By Step Explanation

• For part 1.

• Distance = 280 meters.
• Speed = 56 Km/h.
• Time = ?

First we need to convert Km/h to m/s.

$\longrightarrow \sf56 \times \cfrac{5}{18} \\ \\ \longrightarrow \sf \cfrac{140}{9} \: \: \: m/s$

Formula Used :

$\bigstar \: \: \: \: \underline{\boxed{ \bold{ \red{Speed=\cfrac{Distance}{Time}}}}}$

By substituting the values :

$\longmapsto \sf\cfrac{140}{9} = \cfrac{280}{Time} \\ \\ \longmapsto \sf 140 \times Time = 280 \times 9 \\ \\ \longmapsto\sf Time = \cfrac{ \cancel{280}\times 9}{ \cancel{140}} \\ \\ \longmapsto \green{ Time = 18 \: sec.}$

Therefore, time taken by the train to cross an electric pole = 18 second.

______________

• For Part 2.

• Distance = 280 + 560 meter = 840 meters.
• Speed = 140/9 m/s.
• Time = ?

Formula Used :

$\bigstar \: \: \: \: \underline{\boxed{ \bold{ \red{Speed=\cfrac{Distance}{Time}}}}}$

By substituting the values :

$\longmapsto\sf \cfrac{140}{9} = \cfrac{840}{Time} \\ \\ \longmapsto\sf 140 \times Time = 840 \times 9 \\ \\ \longmapsto \sf Time = \cfrac{ \cancel{840} \times 9}{ \cancel{140}} \\ \\ \longmapsto\green{Time = 54 \: sec.}$

Therefore, time taken by the train to cross a long bridge of 560 meter = 54 seconds.

__________________________

Answer 2

Answer:

αηsωεя :

Given :

• Length of train = 280 meters.
• Speed of train = 56 Km/h.

To Find :

• Time taken by the train to cross an electric pole.
• Time taken by the train to cross a 560 meter long bridge.

For part (i) :-

• Distance = 280 meters.
• Speed = 56 Km/h.
• Time = ?

We need to convert Km/h to m/s :

• 56 x 5/18
• 140/9 m/s

Required formula :

➡ Speed = Distance / Time

Form the formula we get :

▶ Time = Distance / Speed

Solution for (i) :

• time = 280/(1440/9)
• time = (280x9) / 140
• time = (2x9) / 1
• time = 18 s

So, time for (i) = 18 seconds

For part (ii) :

• Distance = 280 + 560 meter = 840 meters.
• Speed = 140/9 m/s.
• Time = ?

Required formula :

➡ Speed = Distance / Time

Form the formula we get :

▶ Time = Distance / Speed

Solution for (ii) :

• time = 840/(140/9)
• time = (840x9)/140
• time = (6x9)/1
• time = 54 s

So, time for (ii) = 54 seconds

Hope it helps you :)