Ryan will take 5 weeks and 5 days to complete the tree house.
'The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.'
According to the given problem,
Time taken by Ryan to complete building the tree house = 85[tex]\frac{1}{4}[/tex] hours
= [tex]\frac{341}{4}[/tex] hours
Hours he work on the tree house = 15[tex]\frac{1}{2}[/tex] hours
= [tex]\frac{31}{2}[/tex]
Weeks taken by Ryan to complete building = [tex]\frac{341}{4}[/tex] ÷ [tex]\frac{31}{2}[/tex]
= 5.5 weeks
= 5 weeks 5 days
Hence, we can conclude that Ryan is going to take 5 weeks and 5 days to complete building the tree house.
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