Answer:
[tex]1.2\ hours[/tex]
Step-by-step explanation:
we know that
Joey can paint a room in 2 hours
That means
Joey can paint the 100% of the room-------> 2 hours
so
In 1 hour ------> can paint 100%/2=50%
Chelsea can paint a room in 3 hours
That means
Chelsea can paint the 100% of the room-------> 3 hours
so
In 1 hour ------> can paint (100%/3)=33.33%
therefore
Joey and Chelsea in 1 hour can paint -----> 50%+33.33%=83.33%
by proportion
[tex]\frac{1}{83.33}\frac{hour}{\%} =\frac{x}{100}\frac{hour}{\%}\\ \\x=100/83.33\\ \\ x=1.2\ hours[/tex]
