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(39615) About Me  (Show Source):
You can put this solution on YOUR website!
b, time for brother to paint the one room by himself


1%2F3-1%2F5=1%2Fb
Solve for b.

HINT: Multiply left and right members by 3%2A5%2Ab.

Answer by ikleyn(52770) About Me  (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?
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Working together, they paint 1%2F3 of the house per day.

Working alone, the man can paint 1%2F5 of the house per day.

It means, that the brother alone can paint 1%2F3+-+1%2F5 of the house per day.


1%2F3+-+1%2F5 = 5%2F15+-+3%2F15 = 2%2F15.


Thus the brother alone can paint 2%2F15 of the house per day.


Hence, it will take 15%2F2 = 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.


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in this site.

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

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