Problema Solution

6. George and Stanley are building a stone fence. They can complete the fence together in 8 hours, and George can complete it is 24 hours working alone. If they work together for 6 hours, then Stanley goes to the pub for a pint, how much longer must George work to finish the fence?

Answer provided by our tutors

let


t = the time that George works alone to finish the fence


1/8 fence per hour is the together rate


1/24 fence per hour is the rate of George


6*(1/8) + t(1/24) = 1


by solving we find:


t = 6 hr


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George must work 6 hours longer to finish the fence.