SOLUTION: It takes bob 4 hours to paint a house and it takes jim 6 hours to paint the same house. How long will it take bob and jim together to paint the house?

Question 620043: It takes bob 4 hours to paint a house and it takes jim 6 hours to paint the same house. How long will it take bob and jim together to paint the house?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
It takes bob 4 hours to paint a house and it takes jim 6 hours to paint the same house. How long will it take bob and jim together to paint the house?
.
Let x = time (hours) it takes for both
then
x(1/4 + 1/6) = 1
multiplying both sides by 12:
x(3 + 2) = 12
x(5) = 12
x = 12/5
x = 2 and 2/5 hours
or
x = 2.4 hours
or
x = 2 hours and 24 minutes

RELATED QUESTIONS
If it takes sally 4 hours to paint house and Jim 6 hours to paint house. how long will it (answered by solver91311)

It takes Mike 6 hours to paint a house. It takes Jim 4 hours to paint the same house. How (answered by Alan3354,stanbon)

jim can paint a house in 6 hours. bob can paint the same house in 4 hours. How long... (answered by Earlsdon)

If Sally can paint a house in 4 hours and Jim can paint the same house in 6 hours, then... (answered by richwmiller)

IF IT TAKES SALLY 4 HOURS TO PAINT A HOUSE AND IT TAKES JOHN 6 HOURS TO PAINT THE SAME... (answered by funmath)

It takes Aaron 20 hours to paint a house. It takes Bob 30 hours to paint the same house.... (answered by jim_thompson5910,ikleyn,Alan3354)

It takes Bill 4 hours to paint a house and it takes Charlie 6 hours to paint the same... (answered by robertb)

If jan can paint a house in 4 hours and jim can paint a house in 6 hours, how long will... (answered by nerdybill)

Hi, I need your help in solving this problem. I find it hard and I can't come up with a... (answered by scott8148)