Three water pipes A, B, and C can fill the pool in 5 hours when pipe A is opened alone; when pipes A and B are opened together, the pool can be filled in 2 hours; when pipes A and C are opened together, the pool can be filled in 3 hours. Now open the three pipes A, B, and C together. After a while, pipe A breaks down and stops water injection, but after 2 hours, the pool is full. How long have the three pipes A, B, and C been filled with water?
甲、乙、丙三根水管，单独开甲管5小时能注满水池；甲与乙两管一起打开，2小时注满水池；甲与丙两管一起打开，3小时注满水池．现在把甲、乙、丙三管一起打开，过了一段时间甲管发生故障停止注水，但2小时后水池注满，问甲、乙、丙三管一起放了多少时间的水？
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">(1/2) - (1/5)</gadget>
<output>3/10 = around 0.3</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/3) - (1/5)</gadget>
<output>2/15 = around 0.133333</output>

<gadget id="calculator">(3/10) + (2/15)</gadget>
<output>13/30 = around 0.433333</output>

<gadget id="calculator">(13/30) * 2</gadget>
<output>13/15 = around 0.866667</output>

<gadget id="calculator">1 - (13/15)</gadget>
<output>2/15 = around 0.133333</output>

<gadget id="calculator">(1/5) + (3/10) + (2/15)</gadget>
<output>19/30 = around 0.633333</output>

<gadget id="calculator">(2/15) / (19/30)</gadget>
<output>4/19 = around 0.210526</output>

<result>4/19 = around 0.210526</result>