Ed and Sue bike at equal and constant rates. Similarly, they jog at equal and constant rates, and they swim at equal and constant rates. Ed covers \(74\) kilometers after biking for \(2\) hours, jogging for \(3\) hours, and swimming for \(4\) hours, while Sue covers \(91\) kilometers after jogging for \(2\) hours, swimming for \(3\) hours, and biking for \(4\) hours. Their biking, jogging, and swimming rates are all whole numbers of kilometers per hour. Find the sum of the squares of Ed's biking, jogging, and swimming rates.
(第二十六届AIME1 2008 第3题)