a man, a woman and a boy can together complete a piece of work in 3 days. if a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?	Choose the correct choice from the following options: A) 9 days B) 21 days C) 24 days D) 27 days E) 28 days
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">1 / 18</gadget>
<output>1/18 = around 0.055556</output>

<gadget id="calculator">(1/6) + (1/18)</gadget>
<output>2/9 = around 0.222222</output>

<gadget id="calculator">(1/3) - (2/9)</gadget>
<output>1/9 = around 0.111111</output>

<gadget id="calculator">1 / (1/9)</gadget>
<output>9</output>

<result>A</result>
a man, a woman and a boy can together complete a piece of work in 3 days. if a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?
inverse(subtract(inverse(3), add(inverse(6), inverse(18))))
"explanation : ( 1 man + 1 woman + 1 boy ) ’ s 1 day ’ s work = 1 / 3 1 man ’ s 1 day work = 1 / 6 1 boy ’ s 1 day ’ s work = 1 / 18 ( 1 man + 1 boy ) ‘ s 1 day ’ s work = 1 / 6 + 1 / 18 = 2 / 9 therefore , 1 woman ’ s 1 day ’ s work = 1 / 3 – 2 / 9 = 3 - 2 / 9 = 1 / 9 therefore , the woman alone can finish the work in 9 days . answer : option a"