Answer
7.5 hours
Work Step by Step
Let x = time working together
You paint 2 square yards of a community mural in 3 hours, and a friend paints 4 square yards in 5.
If the two of you are working together: $\frac{4}{5}x+ \frac{2}{3}x=11$
$\frac{12x+10x}{15}=11$
$12x+10x=165$
$22x=165$
$x=7.5$
It takes 7.5 hours.