Time, Speed & Distance

 Back to Questions

Three athletes $A$, $B$ and $C$ run a race, $B$ finished 24 meters ahead of $C$ and 36 m ahead of $A$, while $C$ finished 16 m ahead of $A$. If each athlete runs the entire distance at their respective constant speeds, what is the length of the race?


108 m


90 m


80 m


96 m

 Hide Ans

Option(D) is correct

Let the length of the race be '$d$'. 

When $B$ finished the race, $A$ and $C$ would have run $(d−36)$ and $(d−24)$ meters respectively. 

When $C$ finishes the race, $A$ would have run $(d−16)$ meters.

The ratio of speeds of $C$ and $A$ is:


$⇒ d= \textbf{96 m}$

(0) Comment(s)