+346 Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Dirk finishes the race, Edith is $10$ km behind, and Foley is $15$ km behind. When Edith finishes the race, how far behind is Foley, in km?
+1926 So, first let's analyze the question.
Note that when Dirk finishes, Edith has ran 14km and Foley has run 9km.
Well, this means Foley runs \(9/14\) as fast as Edith.
So when Edith runs the entire 24km, Foley has ran \(24 (9/14) ≈ 15.43 km\)
Which means that Foley is \(24 - 15.43 ≈ 8.57 km \) behind Edith.
So 8.57 km is our answer!
Thanks! :)
