SOLUTION: A man can paint a certain house in 5 days. He and his brother can do the job together in 3 days. How many days would it take his brother to paint the house if he worked alone?

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Question 1071009: A man can paint a certain house in 5 days. He and his brother can do the job together in 3 days. How many days would it take his brother to paint the house if he worked alone?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
b, time for brother to paint the one room by himself



Solve for b.

HINT: Multiply left and right members by .

Answer by ikleyn(52775)   (Show Source): You can put this solution on YOUR website!
.
A man can paint a certain house in 5 days. He and his brother can do the job together in 3 days.
How many days would it take his brother to paint the house if he worked alone?
~~~~~~~~~~~~~~~~~~~~~~~~

Working together, they paint  of the house per day.

Working alone, the man can paint  of the house per day.

It means, that the brother alone can paint  of the house per day.


 =  = .


Thus the brother alone can paint  of the house per day.


Hence, it will take  = 7.5 days for the brother to do this job working alone.

Solved.     You do not need solve equation to get the answer.

To freely operate with fraction is ENOUGH.


You can find many other similar solved joint-work problems in the lessons
    - Using Fractions to solve word problems on joint work,
    - Solving more complicated word problems on joint work,
    - Selected joint-work word problems from the archive
in this site.

Read them, and you will learn how to solve such problems once and for all.

Read them and get trained in solving joint-work problems.



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