Question

Three runners A,B and C run a race with runner A finishing 12m ahead of runner B and 18m ahead of runner C,while runner B finishes 8m ahead of the runner C.each runner travels the entire distance at constant speed,length of race track is?

Answer 1

38 meter is length of race track

Answer 2

Answer:

48 meters

Step-by-step explanation:

Let A finishes x m which is the required distance,

Now, according to question,

B finishes in (x -12) m

C finishes in (x -18) m

Again, If B finishes in x m then c finishes in (x - 8)m

Now,

A/B = x/(x-12)

A/C = x/(x-18)

so, B/C = (x-12)/(x-18) .... equation (i)

and also

B/C = x/(x-8) .... equation (ii)

from equation i and ii

(x-12)/(x-18) = x/(x-8)

after solving,

x = 48m satisfy the equation.