Three runners A, B and C run a race , with runner A finished 12 m ahead of runner B and 18 m ahead of runner C , in another same race runner B finished 8 m ahead of runner C . Each runner travels the entire distance at a constant speed . The length of the race is .
Answer & explanation
Correct answer: option 2
Let A finish the race of = x meter
B finish the race of = x - 12
C finish the race of = x- 18 ..... (i)
In another race of B & C
B finish race of = x meter
C finish race of = x - 8 ..... (ii)
Ratio of speeds of B & C
\(\frac{x\;-\;12}{x\;-\;18}\) = \(\frac{x}{x\;-\;8}\)
( x - 12 ) × ( x - 8 ) = x( x - 18 )
on solving ,
96 = 2x
x = 48