Two circles, one with a radius of 10 inches and the other with a radius of 4 inches, are tangent at point \(Q.\) Two insects start crawling at the same time from point \(Q:\) one along the larger circle at \(3\pi\) inches per minute, the other along the smaller circle at \(2.5 \pi\) inches per minute. How much time has elapsed when the two insects meet again at point \(Q?\)

(A) 15 minutes
(B) 30 minutes
(C) 40 minutes
(D) 1 hour
(E) 1 hour, 20 minutes

Answer: E

Source: Manhattan GMAT