3 men and 7 women can complete a work in 10 days. but 4 men and 6 women need 8 days to complete the same work. in how many days will 10 women complete the same work?  Choose the correct answer.
A) 50	B) 40	C) 30	D) 20	E) 10
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>

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

<gadget id="calculator">7 / 6</gadget>
<output>7/6 = around 1.166667</output>

<gadget id="calculator">(7/6) * (1/8)</gadget>
<output>7/48 = around 0.145833</output>

<gadget id="calculator">(1/10) - (7/48)</gadget>
<output>-11/240 = around -0.045833</output>

<gadget id="calculator">4 * (7/6)</gadget>
<output>14/3 = around 4.666667</output>

<gadget id="calculator">3 - (14/3)</gadget>
<output>-5/3 = around -1.666667</output>

<gadget id="calculator">(-11/240) / (-5/3)</gadget>
<output>11/400 = around 0.0275</output>

<gadget id="calculator">4 * (11/400)</gadget>
<output>11/100 = around 0.11</output>

<gadget id="calculator">(1/8) - (11/100)</gadget>
<output>3/200 = around 0.015</output>

<gadget id="calculator">(3/200) / 6</gadget>
<output>1/400 = around 0.0025</output>

<gadget id="calculator">(1/400) * 10</gadget>
<output>1/40 = around 0.025</output>

<gadget id="calculator">1 / (1/40)</gadget>
<output>40</output>

<result>B</result>
3 men and 7 women can complete a work in 10 days. but 4 men and 6 women need 8 days to complete the same work. in how many days will 10 women complete the same work?
inverse(multiply(divide(subtract(divide(const_1, 8), multiply(4, divide(subtract(divide(const_1, 10), multiply(divide(7, 6), divide(const_1, 8))), subtract(3, multiply(4, divide(7, 6)))))), 6), 10))
explanation : work done by 4 men and 6 women in 1 day = 1 / 8 work done by 3 men and 7 women in 1 day = 1 / 10 let 1 man does m work in 1 day and 1 woman does w work in 1 day . the above equations can be written as 4 m + 6 w = 1 / 8 - - - ( 1 ) 3 m + 7 w = 1 / 10 - - - ( 2 ) solving equation ( 1 ) and ( 2 ) , we get m = 11 / 400 and w = 1 / 400 amount of work 10 women can do in a day = 10 × ( 1 / 400 ) = 1 / 40 ie , 10 women can complete the work in 40 days answer : option b