The sound of an approaching train reaches the road worker on the tracks in 0.3 seconds. at what distance

The sound of an approaching train reaches the road worker on the tracks in 0.3 seconds. at what distance from the worker is the train if the speed of sound in steel is 5500 m / s? how long does it take for the sound to travel through the air.

Given:

t = 0.3 seconds – the time it takes for the sound from an approaching train to reach the worker on steel rails;

v1 = 5500 meters per second – the speed of sound propagation in steel;

v2 = 330 meters per second – the speed of sound propagation in the air.

It is required to determine L (meter) – at what distance the train is from the worker and t1 (second) – after what time the sound will reach the worker through the air.

Let’s find the distance at which the train is from the worker:

L = v1 * t = 5500 * 0.3 = 1650 meters (1.65 kilometers).

Then the sound will travel through the air for:

t1 = L / v2 = 1650/330 = 5 seconds.

Answer: the train is at a distance of 1650 meters, the sound will reach through the air in 5 seconds.