Answer
$$ \frac{2}{3}\ \text{Lawns per hour}$$
Work Step by Step
We know that the overall rate is equal to the sum of the individual rates. Letting Mark's rate be $x$, we find:
$$ 1=\frac{1}{3}+x \\ x=\frac{2}{3}\ \text{Lawns per hour}$$
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