# The speed of sound in the air is 340 m / s. at what distance in km the thunder thundered

**The speed of sound in the air is 340 m / s. at what distance in km the thunder thundered, which is audible after 10.5, seconds Write down the answer in the form a 10ᵇ, where a, b∈N**

In 1 second, the sound of thunder travels a distance of 340 m.Let’s make the proportion and find the distance that the sound of thunder travels in 10, 5 s:

1 s = 340 m;

10.5 s = x.

x = 10.5 * 340/1 = 10.5 * 340 = 3570 – the distance covered by the sound of thunder in 10.5 s in meters.

Let’s translate 3570 m into kilometers.

1 km contains 1000 m.Let’s make the proportion and find the number of kilometers in which 3570 m is contained:

1 km = 1000 m;

x = 3570 m.

x = 3570/1000 = 357/100 = 357 / 10² = 357 * 10⁻² – the distance that the sound of thunder travels in 10.5 s in kilometers.

Answer: 357 * 10⁻² km.