Three runners Adam, Ben, and Charles all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Adam finishes the race, Ben is $8$ km behind, and Charles is $12$ km behind. When Ben finishes the race, how far behind is Charles, in km?

Question

Bo Solomon

Mathematics

16 January, 11:57

Three runners Adam, Ben, and Charles all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Adam finishes the race, Ben is $8$ km behind, and Charles is $12$ km behind. When Ben finishes the race, how far behind is Charles, in km?

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Answers (1)

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Shyla Jennings · Answer 1

6km

Step-by-step explanation:

OK ... lets say adam runs at 24 km / hr finishes in 1 hour

charles is 12 km behind ... he is only 1/2 way through ... must be running at 12 km/hr he will finish in 2 hours

ben is 8km behind he has run 16 km in one hour 16 km/hr he will finish in 1 1/2

Charles done in 2 hours

whne Ben finishes Charles is still 30 minutes behind x 12/km/hr = 6 km