You can
put this solution on YOUR website! If Sally can paint a house in 4 hours, and John can paint the same house in 6
hour, how long will it take for both of them to paint the house together?
:
Here is an easy method to solve these "shared work" problems
:
Let t = time required when they work together
:
Let the completed job = 1
:
Each will do fraction of the job, the fractions will add up to 1
;

+

= 1
Multiply by 12 to get rid of the denominators
12*

+ 12*

= 12(1)
Cancel the denominators, results:
3t + 2t = 12
:
5t = 12
t =

t = 2.4 hrs working together
;
;
Check solution in original equation

+

=
.6 + .4 = 1
;
:
Did that make sense to you?