\[\frac{1}{3}\sqrt{60} = \sqrt{\frac{1}{9} \cdot 60} = \sqrt{\frac{20}{3}};\]
\[10\sqrt{\frac{1}{5}} = \sqrt{100 \cdot \frac{1}{5}} = \sqrt{20};\]
\[\frac{1}{3}\sqrt{60} < 10\sqrt{\frac{1}{5}}.\]