SOLUTION: Mrs. Brown can clean her house in 3 hours. Her daughters can do the same job in 6 hours. How long will it take them to clean the house if they work together?

Question 655298: Mrs. Brown can clean her house in 3 hours. Her daughters can do the same job in 6 hours. How long will it take them to clean the house if they work together?
Answer by ash.ghadge(2) (Show Source): You can put this solution on YOUR website!
assume that they took 'x' days to clean the house together.
as Mrs. brawn cleans in 3 hours. in 1 hour she cleans 1/3rd part of the house.
hence in 'x' hours she cleans x/3 rd part of the house
similarly her daughter cleans the house in 6 hours. in 1 hour she cleans 1/6th part of the house.
it means in 'x' hours she cleans x/6th part of the house.
both of them paints '1' house is 'x' hours.
hence equation becomes:

divide both sides by 3
x = 2
Mrs. Brawn and her daughter can clean the house in 2 hours working together.
RELATED QUESTIONS
melissa can clean the house in 4hours, whereas her husband, zack, can do the same job in... (answered by ankor@dixie-net.com)

a painter can paint a house in 6 hours her assistant takes 8 hours to do the same job.... (answered by TimothyLamb)

Susan can clean the house in 3 hours. Her husband Mike can clean the house in 5 hours.... (answered by ewatrrr)

One maid can clean the house in 6 hours. Another maid can do the job in 5 hours. How long (answered by VickyFM)

ruth can clean the room in 3 hours her younger sister can do the job in 6 hours how long... (answered by Edwin McCravy)

One maid can clean the house in 3 hours. Another maid can do the job in 8 hours. How long (answered by stanbon,ikleyn)

It takes 45 min for a mother to clean her house. Her daughter can do the job in 1 hour.... (answered by josgarithmetic)

Sally can clean the house in 6 hours her father can clean the house in 4 hours and her... (answered by ankor@dixie-net.com,Edwin McCravy)

Sally can clean the house in 8 hours, her father can clean the house in 6 hours, and her... (answered by fcabanski,josmiceli)