An earthquake produces longitudinal \(P\) waves that travel outward at \(8000 \mathrm{~m} / \mathrm{s}\) and transverse \(S\) waves that move at \(4500 \mathrm{~m} / \mathrm{s}\). A seismograph at some distance from the earthquake records the arrival of the \(\mathrm{S}\) waves \(2.0 \mathrm{~min}\) after the arrival of the \(P\) waves. How far away was the earthquake? You can assume that the waves travel in straight lines, although actual seismic waves follow more complex routes.