Question

Dana works in a restaurant. It takes her 4 hours to clean a load of dishes. Her colleague Tim can do the same job in 6 hours. If they work together, what fraction of the load can they clean in one hour?

Answer 1

-Work problem..

Answer 2

5/12 right?

Answer 3

im one hour dana cleans 1/4 load
tim cleans 1/6 load
together they clean 1/4 + 1/6 = 5/12 load

Answer 4

yup it's right

Answer 5

Right.

Answer 6

and to anticipate the next question, how long will it take them both working together to complete the load?
\[\frac{4\times 6}{4+6}=\frac{24}{10}=\frac{12}{5}=2.4\] the reciprocal of the answer to your previous question.

Answer 7

I like

Dana's rate + Tim's rate = Combined Rate ...

Answer 8

\[\frac 14 + \frac 16 = \frac 1x\]

Answer 9

5/12