Select the correct answerTwo guns were fired from the same place at an interval of 10 minutes and 30 seconds, but a person in a train approaching the place hears second shot 10 minutes after the first. The speed of train (in km/hr), supposing that sound travels at 330 m/s is?Options19.859.4111.858.6

The problem can be solved by using the concept of relative speed in physics.

1. First, convert the time interval in which the guns were fired and the time interval in which the sounds were heard into seconds.

   The guns were fired at an interval of 10 minutes and 30 seconds, which is 630 seconds. The person in the train hears the second shot 10 minutes (or 600 seconds) after the first.

2. The difference in time taken by the sound to reach the person in the train is 630 seconds - 600 seconds = 30 seconds.

3. In these 30 seconds, the train has traveled a distance equal to the distance the sound has traveled.

4. The speed of sound is given as 330 m/s. So, in 30 seconds, the sound travels a distance of 330 m/s * 30 s = 9900 meters.

5. This is the distance the train has traveled in 30 seconds. So, the speed of the train is 9900 meters / 30 seconds = 330 m/s.

6. Convert this speed into km/hr by multiplying by 3.6 (since 1 m/s = 3.6 km/hr).

   So, the speed of the train is 330 m/s * 3.6 km/hr = 1188 km/hr.

7. But this is the relative speed of the train with respect to the sound. The actual speed of the train is this speed minus the speed of sound (since the train is moving towards the source of the sound).

   So, the actual speed of the train is 1188 km/hr - 330 m/s * 3.6 km/hr = 1188 km/hr - 1188 km/hr = 0 km/hr.

So, none of the options given are correct. The speed of the train should be 0 km/hr.