Question

A 60 meter long train passes through a 120 meters long bridge ar a velocity of 10m/sec .How much time will the train take in crossing over the bridge?

please help me.. please .. please​

Answer 1

Answer:

18 seconds

length of bridge + length of train = 180m as the train needs to cross the bridge . and 180 m ÷ 10m/s = 18s

Answer 2

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Given :-

A 60 meters long train passes through a 120 meters long bridge at a velocity of 10 m/s .

Required to find :-

• Time taken by the train to cross the bridge ?

Formula used :-

$\boxed{\rm{ Time = \dfrac{Distance}{Speed} }}$

Concept used :-

• Velocity is a vector quantity

• Velocity needs both magnitude and direction

• Speed is a scalar quantity

• Speed needs only magnitude

• In some cases we can take velocity in the terms of the speed but we can't take speed in the terms of velocity

Solution :-

Given information :-

A 60 meters long train passes through a 120 meters long bridge at a velocity of 10 m/s.

We need to find the time taken by the train to cross the bridge

So,

From the given information we can conclude that ;

• Length of the train = 60 meters

• Length of the bridge = 120 meters

But, the total distance is the sum of the length of the train and length of the bridge .

So,

• Total distance = 60 + 120 = 180 meters

Similarly,

• velocity = 10 m/s

we know that ;

In some cases we can take velocity as in the terms of speed .

So,

• Speed of the train = 10 m/s

Using the formula ,

$\boxed{\rm{ Time = \dfrac{Distance}{Speed} }}$

So,

$\rightarrow{\tt{ Time = \dfrac{180 \ meters }{10 \ m/s } }}$

$\rightarrow{\tt{ Time = \dfrac{ 18 \ m }{1 \ m/s } }}$

$\rightarrow{\tt{ Time = \dfrac{ 18 }{ 1 \ s }}}$

This implies ,

$\bf{\rm{ Time = 18 \ seconds }}$

Therefore,

Time taken to cross the bridge is 18 seconds