Posted by **diane** on Thursday, April 9, 2009 at 9:18am.

it takes bill 4 hours to paint a house. it takes john 7 hours to paint the same house. how long does it take to paint the house if they painted it together.

- 12th grade, math -
**GuruBlue**, Thursday, April 9, 2009 at 9:22am
If you put the name of the subject then the correct teacher can give you help more quickly.

- 12th grade -
**Jacob**, Thursday, April 23, 2009 at 10:24pm
Area of the house to be painted = A

Bill pains "B" area per hour

John pains "J" area per hour

So, A/B = 4 hours, and A/J = 7 hours

=> B = A/4 and J = a/7

B and J says how much area they can paint per hour.

When both of them work together, assume it takes x hours to finish the work

=> xB + xJ = A the total area painted

x(A+B) = x(A/4+A/7)=A

x (1/4+1/7)= 1 so x = 28/11

- 12th grade -
**RickP**, Friday, May 1, 2009 at 1:30am
Jacob's answer explains it better, but there is an equation you can use.

Tt = 1/T1 + 1/T2

where Tt is total time, T1 is the first person's time, and T2 is the second person's time (this can be carried out as far as needed, such as by adding a 1/T3 term, and a 1/T4 term, etc.).

- 12th Grade -
**12th Grade**, Friday, May 22, 2009 at 7:59pm
What Dos hasty Market Have"s Food

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