SOLUTION: One maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?

Question 248629: One maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Faster maid's rate of working + slower maids rate = rate working together
Let = slower maids rate of working in (1 house cleaned)/(time to clean it)
then, Faster maid's rate =
(note: 1/3 is: (1 house/(3 hours))

The slower maid can clean 1 house in 12 hours
The faster maid's rate is:

The faster maid can clean the house in 4 hours
RELATED QUESTIONS
one maid can clean the house three times faster than another. Working together they can... (answered by Paul)

One maid can clean the house three times faster than another. Working together they can... (answered by nerdybill,Alan3354)

One maid can clean the house three times faster than another. Working together they can... (answered by josmiceli)

One maid can clean the house three times faster than another. Working together they can... (answered by stanbon)

If one maid can clean a house in 4 hours and another maid can clean a house in 6 hours... (answered by ptaylor)

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

One maid can clean the house in 8hr. Another maid can do the job in 4hr. How long will it (answered by josgarithmetic)

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

One maid can clean the house in 4 hours. Another maid can do the job in 2 hours. How... (answered by checkley79)