Question

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Answer 1

Hey mate !!

Thanks for the question !!

Here's the answer !!

Well we can calculate this simply by using Distance formula.

Since the time is in seconds, we need to convert speed into
Metres / Second.

We know that,

1 km / hr = 5 / 18 m / sec

Hence 60 Km / hr = 5 / 18 * 60

= 300 / 18 m / sec

= 50 / 3 m / sec.

So Length of train ( Distance ) = Speed * Time

=> Length of train = 50 / 3 m / sec * 9 sec

=> Length of train = 50 * 3 m = 150 m

Hence the length of the train is 150 meters.

Hence option ( d ) is correct.

Hope my answer helps !!

Cheers !!

Answer 2

Hey Mate !

Here is your solution :

It is given that a train crosses a pole in 9 sec with speed of 60 km/hr.

If any object crosses a pole in given time period , then distance travelled = Length of that object.

Now,

Speed of train = 60 km/hr

Time taken = 9 sec.

First of all ,

Convert speed of train in m/s as the length of any object is mostly given in meters.

Now,

= 60 km / hr

We know that,

1 km = 1000 m

60 km = 1000 × 60 m = 60,000 m

And,

1 hr = 60 min

1 hr = 60 × 60 sec = 3,600 sec

As, 1 min = 60 sec

So, 60 min = 60 × 60 sec = 3,600 sec

Now,

= 60 km/hr

= 60,000 m / 3,600 s

= ( 50/3 ) m/s

Using formula,

=> Speed = Distance ÷ Time

=> Speed × Time = Distance

By putting the value of speed and time,


=> { ( 50/3 ) m/s } × 9 s = Distance

=> 150 m = Distance

As,

Distance = Length of train

150 m = Length of train

Hence, the length of train is 150 m.

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Hope it helps !! ^_^