SOLUTION: Kian can paint a wall in 9 hours, if Audrey helped the job is done in 6 hours, how many hours it will taked if Audrey worked alone?

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Question 1065527: Kian can paint a wall in 9 hours, if Audrey helped the job is done in 6 hours, how many hours it will taked if Audrey worked alone?
Found 3 solutions by Fombitz, ikleyn, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time = Output
For Kian,
R%5Bk%5D%2A9=1
R%5Bk%5D=1%2F9
For Kian and Audrey,
%28R%5Bk%5D%2BR%5Ba%5D%296=1
R%5Bk%5D%2BR%5Ba%5D=1%2F6
So,
1%2F9%2BR%5Ba%5D=1%2F6
R%5Ba%5D=1%2F6-1%2F9
R%5Ba%5D=3%2F18-2%2F18
R%5Ba%5D=1%2F18
So to do one wall,
%281%2F18%29%2At=1
t=18hrs

Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.
Kian can paint a wall in 9 hours, if Audrey helped the job is done in 6 hours, how many hours it will taked if Audrey worked alone?
~~~~~~~~~~~~~~~~~~~~~~~~

Kian paints 1%2F9 of the wall surface per hour.

Together with Audrey, they paint 1%2F6 of the wall surface per hour.

Now it is clear that Audrey, working alone, paints 1%2F6-1%2F9 = 3%2F18+-+2%2F18 = 1%2F18 of the wall surface per hour.

Hence, it will take 18 hours for Audrey to paint the wall, if he works alone.

SOLVED.


There is a wide variety of similar solved joint-work problems with detailed explanations 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 get be trained in solving joint-work problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Rate of work and joint work problems" of the section "Word problems".


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Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Kian can paint a wall in 9 hours, if Audrey helped the job is done in 6 hours, how many hours it will taked if Audrey worked alone?
Time Audrey takes: highlight_green%28matrix%281%2C2%2C+18%2C+hours%29%29