SOLUTION: A man can paint a room, working alone, in 5 hours. His wife can do the same job in 4 hours. How long will it take them to paint the room if they work together?

Question 969354: A man can paint a room, working alone, in 5 hours. His wife can do the same job in 4 hours. How long will it take them to paint the room if they work together?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If A can do a job in x time periods, then A can do

of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do

of the job in 1 time period.

So, working together, they can do

of the job in 1 time period.

Therefore, they can do the whole job in:

time periods.

John

RELATED QUESTIONS
one man working alone can paint a room in 5 hours, another man can paint it in 7 hours... (answered by Alan3354)

Peter can paint a room in 5.5 hours. His brother can do the same job in 7.5 hours. How... (answered by ikleyn)

Working together, Kim and Chris can paint a room in 3 hours. Working alone, Chris can do... (answered by ikleyn)

Aris can paint a room in 5 � hours. His brother can do the same job in 7 � hours. How... (answered by ankor@dixie-net.com)

Dana can paint a room alone in four hours. Cynthia can do the same job in three hours.... (answered by josmiceli)

If donald can perfrom a job working alone in 4 hours,and his brother mark can do the same (answered by lwsshak3)

I'm trying to help my nephew with algebra... it's been a while. 1. Brooks can mow the... (answered by rothauserc)

Working alone, Sue can paint a 10' x 12' rectangular room in 12 hours. Joe can paint the (answered by nerdybill)

Ron can paint a room in 6 hours working alone. If his son, Jason, helps him, the job... (answered by stanbon)