A pool has two inlet pipes A and B and one outlet pipe C. Opening pipe A alone can fill the pool in 6 minutes, opening pipe B alone can fill it in 8 minutes, and opening pipe C alone can drain the pool of water in 4 minutes. Three-pronged approach, how many minutes can the pool be filled?
某水池装有甲乙两个进水管和丙一个出水管．单开甲管6分钟可以注满水池，单开乙管8分钟可以注满，单开丙管4分钟可以把满池水排完．三管齐开，几分钟能使水池注满？
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>

<gadget id="calculator">(1/8) - (1/4)</gadget>
<output>-1/8 = around -0.125</output>

<gadget id="calculator">(1/6) + (-1/8)</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">1 / (1/24)</gadget>
<output>24</output>

<result>24</result>