Runners \(P, Q\), and \(R\) run a \(5-\mathrm{km}\) race in 15,20 , and \(25 \mathrm{~min}\), respectively, each at a constant speed. When runner \(Q\) crosses the \(1-\mathrm{km}\) mark, what is the distance, to the nearest meter, between runners P and R? Assume that times and distances are correct to at least four significant digits.