3 runners ABC run a race, runner A finishes 12m ahead of B and 18m ahead of C, while B finishes 8m
ahead of C. Each runner travels the entire distance at a constant speed. What is the length the race?

when A covers x units, B covers x-12 and C covers x-18so speed ratio of A B and C is x : x-12 : x-18similary when B covers x units C covers x-8hence speed of B and C is x : x-8so we get(x-12) : ( x -18) = x : (x-8)x^2 -20x +96 = x^2 - 18x2x = 96x=48