Question
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, in another race of same type runner B finished 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. the length of the race is.Solution
Let A finish the race of = x m B finish the race of =x-12 C finish the race of =x-18 … (1) In another race of B and C B finish race of =x C finish race of =x-8 … (2) Ratio of speeds of B and C (x-12)/(x-18) =x/x-8 (x-12) ×(x-8) =x(x-8) 2x=96 X=48meter.
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