Question 19
On segment AB of length 30m, three bugs start simultaneously: bug 1 moves from A to B at 2m/min; bug 2 starts 10m from A and moves toward B at 0.5m/min; bug 3 moves from B toward A at 0.5m/min. They stop at an endpoint. Find the minimum AC, with C on AB, such that at every instant from their simultaneous start until all three have completely stopped, at least one bug is crawling on segment AC.