SOLUTION: Mike can paint one chair in 4 hours. Laura can paint 3 chairs in 7 hours. If they work together how long will it take them to paint 2 chairs?

Question 916135: Mike can paint one chair in 4 hours. Laura can paint 3 chairs in 7 hours. If they work together how long will it take them to paint 2 chairs?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Mike can paint one chair in 4 hours. Laura can paint 3 chairs in 7 hours. If they work together how long will it take them to paint 2 chairs?

Mike can paint one chair in 4 hours.
he can paint 2 chairs in 8 hours
Laura can paint 3 chairs in 7 hours.
she can paint 2 chairs in 14/3 hours
Let painting two chairs be 1 job
Mike does 1/8 of the job in 1 hour
Laura does 3/14 of the job in 1 hour
In 1 hour they together do 1/8 + 3/14 of the job
=21/56 of the job in 1 hour
so they take 56/21 hours together
= 2.66 hours

If they work together how long will it take them to paint 2 chairs?
RELATED QUESTIONS
Sue can paint a chair in 3 hours. Jerry can paint the same size chair in 2.5 hours. How... (answered by richwmiller)

Alice can paint the house in 5 hours, and Bob can paint it in 7 hours. How long will it... (answered by ewatrrr)

Mike can paint a wall in three hours. Angelo can paint the same wall in two hours. How... (answered by checkley75)

Sarah can paint a fence in 4 hours . her father can paint it in 2 hours . if they work... (answered by schmidtmomto6)

Jim can paint the fence in 5 hours, while Julie can paint it in 4 hours. How long will it (answered by josmiceli)

Sarah can paint a fence in 4 hours. Her father Joe can paint it in 2 hours. If they work... (answered by ptaylor)

Mary can paint her apartment in 5 hours. Jim can paint it in 7 hours. If they work... (answered by josmiceli)

Harry can paint a room in 3 hours, and kerry can paint it in 4 hours. how long will it... (answered by unlockmath)

Bob and Sarah need to paint a fence. Bob can paint a fence in 4 hours and Sarah can paint (answered by josgarithmetic,addingup,greenestamps)