Thunder and lightning

There was a glimpse of the sky and we hear a thunder in 4.5 seconds. The light spreads at 300,000 kilometers per second, so we can assume the flash instantly without delay. However, the speed of the sound is much smaller in the air one third of a kilometer per second. How far away is the storm?

Correct result:

s =  1.5 km

Solution:

v=1/3=13≐0.3333 km/s t=4.5 s s=v⋅ t=0.3333⋅ 4.5=32=1.5 kmv=1/3=\dfrac{ 1 }{ 3 } \doteq 0.3333 \ \text{km/s} \ \\ t=4.5 \ \text{s} \ \\ s=v \cdot \ t=0.3333 \cdot \ 4.5=\dfrac{ 3 }{ 2 }=1.5 \ \text{km}

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