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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?

 May 28, 2024

Best Answer 

 #1
avatar+806 
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After Dirk finally finishes the race, Edith has ran 14 km while Foley has ran 9 km. 

 

This essentially means that Foley is 9/14 as fast as Edith. 

 

This means when Edith has ran 24 km, Foley has ran \(24 (9/14) ≈ 15.43 \) km. 

 

So Foley is \(24 - 15.43 ≈ 8.57\)km behind Edith!

 

Thanks! :)

 May 28, 2024
 #1
avatar+806 
+1
Best Answer

After Dirk finally finishes the race, Edith has ran 14 km while Foley has ran 9 km. 

 

This essentially means that Foley is 9/14 as fast as Edith. 

 

This means when Edith has ran 24 km, Foley has ran \(24 (9/14) ≈ 15.43 \) km. 

 

So Foley is \(24 - 15.43 ≈ 8.57\)km behind Edith!

 

Thanks! :)

NotThatSmart May 28, 2024

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