The approximate distance between the capital of Madhya Pradesh (Bhopal) and the capital of Maharashtra (Mumbai) is 756 km. If a train covers this distance in nearly 14 hours, the average speed of the train in metre per second is

The correct option is 15 m/s.

To find the average speed of the train in meters per second (m/s), we can follow these steps:

Step 1: Identify the given values

Distance, $d=756km$

Time taken, $t=14hours$

Step 2: Calculate the average speed in kilometers per hour (km/h)

The formula for average speed is:

$\text{Average Speed}=\frac{\text{Distance}}{\text{Time}}$

Substituting the given values:

$\text{Average Speed}=\frac{756}{14}=54km/h$

Step 3: Convert the speed from km/h to m/s

To convert speed from kilometers per hour (km/h) to meters per second (m/s), we multiply the speed value by the conversion factor:

$\frac{1000m}{3600s}=\frac{5}{18}$

Applying this conversion factor:

$\text{Speed in m/s}=54\times \frac{5}{18}$

$\text{Speed in m/s}=3\times 5=15m/s$

Therefore, the average speed of the train is 15 m/s.