For a pool, it takes 10 hours to fill up the water inlet pipe A alone, 12 hours to fill it up when the water inlet pipe B is opened alone, and 30 hours to drain the water from the water pipe C alone. How long does it take to open the three pipes at the same time? Fill up the empty pool?
一个水池，单独开甲进水管需10小时将它注满，单独开乙进水管需12小时将它注满，单独开丙放水管需30小时放完一池水，问同时开放三管，多少小时将空池注满？
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>

<gadget id="calculator">(1/12) - (1/30)</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">(1/10) + (1/20)</gadget>
<output>3/20 = around 0.15</output>

<gadget id="calculator">1 / (3/20)</gadget>
<output>20/3 = around 6.666667</output>

<result>20/3 = around 6.666667</result>