Question

how long will a train 120 metre long, take to clear a platform, 130 metre long, if its speed is 50 kilometre per hour
plz solve it fastly I will mark as brainlest ​

Answer 1

Question :-

How long will a train of 120 meters long , take to clear a platform of 130 meters at a speed of 50 km/hr .

Answer :-

Given :-

Length of the train = 120 meters

Length of the platform = 130 meters

Speed of the train = 50 km/hr

Required to find :-

• How long will the train took to clear the platform ?

Formula used :-

$\dag \boxed{ \tt{ \green{time = } \red{ \dfrac{distance}{speed}}}}$

Units Conversion :-

Before solving this question we need to convert some units from one unit into another unit .

The physical quantity who units needs to converted is distance .

Here,

we need to convert the speed from meters to kilometers

So,

As we know that ;

$\rightarrow\boxed{ \bf{ 1 \: meter = \dfrac{1}{1000} \: kilometre }}$

This implies,

=> length of the train = 120 meters

=> 120/1000

=> 0.12 kilometers

similarly,

=> length of the platform = 130 meters

=> 130/1000

=> 0.13 kilometers

Hence,

• Length of the train = 0.12 kilometers

• Length of the platform = 0.13 kilometers

Solution :-

Given data :-

Length of the train = 0.12 km

Length of the platform = 0.12 km

Speed of the train = 50 km/hr

we need to find the speed of the train .

So,

Total distance = Length of the train = Length of the platform

=> 0.12 km + 0.13 km

=> 0.25 km

Similarly,

Speed of the train = 50 km/hr

Using the formula ;

$\dag \boxed{ \tt{ \green{time = } \red{ \dfrac{distance}{speed}}}}$

Hence,

$\rm{ Time = \dfrac{ 0.25 }{ 50} }$

$\rm{ Time = 0.005 hrs }$

Let's convert time from hours to seconds .

Since,

1 hour = 60 minutes

1 minute = 60 seconds

1 hour = 60 x 60

• 1 hour = 3600 seconds

This implies,

=> 0.005 x 3600

=> 18 seconds

Therefore,

Time taken by the train to cross the platform = 18 seconds

Answer 2

◆ Length of the train = 120m

◆ Length of the platform = 130

● Total length = length of train + length of platform

◆ Total length = 120+ 130 = 250m

● Speed of train = 50 kmph

◆ 50×5/18 = 125/9

● Now, Time = distance/speed

◆ Time = 250/125/9

◆ Time = 250×9/125

◆ Time = 2250/125

◆ Time = 18 sec.

Hence,

Time taken by train to clear the platform = 18 sec.

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