Question

a train passes through a tunnel awhose length is 500 m in 1 minute moving at the speed of 72 km h. find the length of the train.​

Answer 1

Answer:

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Answer 2

Given:-

Length of tunnel= 500 m

Time = 1 min

Speed = 72 km/hr.

Find:-

Length of the train.

Solution:-

Let the -

• length of the train be "x" m

Train travels 72 km/hr. in 1 min.

Now, let's convert the 72 km/hr into m/sec

To convert km/hr into m/s multiply with 5/18

=> $\sf{\dfrac{72\:\times\:5}{18}}$

=> $\sf{\dfrac{360}{18}}$

=> $\sf{20}$ m/s

Also, Time = 1 min

=> 1 min = 60 sec

From above calculations we have both time and speed of the train.

Now,

$\bold{Distance \:=\:\dfrac{Speed}{Time}}$

Also, distance travelled by train when it pass through the tunnel = Length of tunnel + Length of train

=> 500 + x

Substitute the known values in above formula

=> $\sf{20\:=\:\dfrac{500\:+\:x}{60}}$

Cross multiply them

=> $\sf{1200\:=\:500\:+\:x}$

=> $\sf{x\:=\:1200\:-\:500}$

=> $\sf{x\:=\:700}$

•°• Length of the train is 700 m.