A, B, C, D, and E five-person team worked together to solve a task that required 20 minutes to complete, but it took 2 minutes longer to complete the task. Afterwards, it was concluded that if the tasks shared by A and E were exchanged at that time, The work of the whole group can improve the efficiency by 10%. If the work shared by B and D is exchanged at that time, the work of the whole group can be improved (1/9). If A and E are exchanged, B and D can be exchanged Also interchangeable, so can this job be done a few minutes earlier than the stipulated time?
A、B、C、D、E五人小组分工合作解决一项要求20分钟完成的任务，但至完所时多用了2分钟，事后总结发现：当时若将A与E分担的工作互换，全组的工作就能提高效率10%，当时若将B与D分担的工作互换，那么全组的工作就能提高(1/9)，如果让A与E互换的同时让B与D也互换，那么比规定时间可以提前几分钟完成这项工作？
<gadget id="calculator">1 / 22</gadget>
<output>1/22 = around 0.045455</output>

<gadget id="calculator">110 / 100</gadget>
<output>11/10 = around 1.1</output>

<gadget id="calculator">10 / 9</gadget>
<output>10/9 = around 1.111111</output>

<gadget id="calculator">(1/22) * (11/10) * (10/9)</gadget>
<output>1/18 = around 0.055556</output>

<gadget id="calculator">1 / (1/18)</gadget>
<output>18</output>

<gadget id="calculator">20 - 18</gadget>
<output>2</output>

<result>2</result>