One maid can clean the house in 6 hours. Another can do the job in 4 hours.How long will it take them together

Question

linear equation

Answer 1

If they were both working, the first maid could clean 1/6 of the house in one hour and the other could clean 1/4 in one hour. If you add 1/6 and 1/4, using 12 as your common denominator, you get 2/12 + 3/12 = 5/12. So both maid together can clean 5/12 of the house in one hour. Now, 1/(5/12) or 1 times 12/5 which is 12/5 is equal to the time the both will take in total, or 2 hours and 24 minutes.

Answer 2

In 1hour,
Maid A cleaned 1/6 of house
Maid B cleaned 1/4 of house
In total, they do 1/6+1/4 = 5/12 of house.

House : Time
5/12 : 1 hour
1 house: 1hour/5 * 12
= 144 mins
=2 hours and 24 mins.

^by ratio though. i can't think of any way with a linear equation.

Answer 3

I had to do this graphically. Draw a base line of any length.Draw a vertical line at either end. Measure off 6 units on one side and 4 units on the other side. Graph across from opposite points and where the lines intersect measure up from the base to get a time of 2.4 hrs or 2hrs 24 min.In other words one maid does 60% of the work. She is the one that I would hire.

Answer 4

1/6 + 1/ 4 = 2 + 3 / 12 = 5/12

Inverse of this is the time. 12/5 hours. 2.4

Answer 5

Mathematically the answer is 2 hours and 24 minutes.
However in practice the two maids will sit around talking and the job will never get done.

Answer 6

Every one says that answer is 2 hour and 24 minutes. But my question for the question is. How big is the house to begin with. To me there is not enough information.

Answer 7

2 hrs 24 mins

Answer 8

5 hours
6/2=3
4/2=2
2+3=5

Answer 9

3 hours

Answer 10

do your own homework
6x6=36
4x4=16
36+16=52
sq.rt=7.2111 hours, allows for talking and coffee breaks.