Chapter 16, Problem 51EAP

Earthquakes are essentially sound waves—called seismic waves—traveling through the earth. Because the earth is solid, it can support both longitudinal and transverse seismic waves. The speed of longitudinal waves, called P waves, is $8000$

$m/s$ . Transverse waves, called S waves, travel at a slower $4500m/s$ . A seismograph records the two waves from a distant earthquake. If the S wave arrives $2.0mm$ after the P wave, how far away was the earthquake? You can assume that the waves travel in straight lines, although actual seismic waves follow more complex routes.