self Maths Puzzle

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?

Read Solution (Total 1)

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−24
d−36
=
d
d−16

⇒ d= 96 m
10 years agoHelpfull: Yes(0) No(1)

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