SOLUTION: If 13 builders took 6 months to build a house how long will 10 builders take to build the house

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Question 1034327: If 13 builders took 6 months to build a house how long will 10 builders take to build the house
Found 2 solutions by Boreal, addingup:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
In each month 13 builders make 1/6 of the house
10 builders is 10/13 of that or 10/78 of a house every month.
It will take them 78/10 months or 7.8 months.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
This is a problem in inverse variation, i.e., a relationship between two variables such that an increase in one causes a corresponding decrease in the other, or a decrease in one causes a corresponding increase in the other.
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n1/n2 = d2/d1=
13/10 = x/6 Cross multiply:
13*6 = 10*x
78 = 10x
x = 7.8 months
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John