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