Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?

36 meters

48 meters

60 meters

72 meters

Explanation:

Let the length of race is X meter.

when A is on X meter, then B is on X-12 and C is on X-8.

Now,

If B is on X-12 meter then C is on X-18 meter

so if B is on 1 meter then C is on (X-18)/(X-12) meter

So if B is on X meter then C is on ((X-18)/(X-12)) *X meter

And it is given that if B is on X meter then C is on X-8 meter

So, [(X-18)/(X-12)] $\times$ X = X-8.

Solve it and get the value of X as 48 meter.