A train covers a distance of 72 km in 40 minutes. Travelling at the same speed, how many metres will the train cover in 6 seconds?

To find the distance covered by the train in 6 seconds, we first need to determine its speed from the given information.

Step 1: Calculate the speed of the train
The train covers a distance of 72 km in 40 minutes.
First, let's convert the distance from kilometers to meters and the time from minutes to seconds:
Distance,

$d=72\text{km}=72\times 1000\text{m}=72000\text{m}$

Time,

$t=40\text{minutes}=40\times 60\text{seconds}=2400\text{seconds}$

Now, we can find the speed ($s$) of the train using the formula:

$s=\frac{d}{t}$

Substituting the values:

$s=\frac{72000}{2400}=30\text{m/s}$

So, the speed of the train is 30 meters per second.

Step 2: Calculate the distance covered in 6 seconds
Using the speed of 30 m/s, we can find the distance covered in the new time duration:

$\text{New time}\left(t_2\right)=6\text{seconds}$

$\text{Distance covered}\left(d_2\right)=\text{Speed}\times t_2$

$d_2=30\text{m/s}\times 6\text{s}=180\text{m}$

Therefore, the train will cover 180 meters in 6 seconds.