A project can be completed by A alone in 10 days, B by himself in 15 days, and C by himself in 20 days. At the beginning, the three teams worked together. Team A left midway, and teams B and C completed the rest of the project together. Finally, teams B and C completed the project in 6 days. How many days did Team A actually work?
一项工程，甲单独做10天完成，乙单独做15天完成，丙单独做20天完成．开始三队一起工作，中途甲队走了，由乙丙两队一起完成剩下的工程，最后乙丙两队用了6天时间完成该工程，甲队实际工作了多少天？
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>

<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">(1/15) + (1/20)</gadget>
<output>7/60 = around 0.116667</output>

<gadget id="calculator">(7/60) * 6</gadget>
<output>7/10 = around 0.7</output>

<gadget id="calculator">1 - (7/10)</gadget>
<output>3/10 = around 0.3</output>

<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">(3/10) / (1/10)</gadget>
<output>3</output>

<result>3</result>