8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. in how many days can 6 men, 4 women and 10 children together complete the piece of work?  Select:	A) 5 days	B) 15 days	C) 28 days	D) 8 days	E) 7 days
<gadget id="calculator">24 * 10</gadget>
<output>240</output>

<gadget id="calculator">1 / 240</gadget>
<output>1/240 = around 0.004167</output>

<gadget id="calculator">10 * (1/240)</gadget>
<output>1/24 = around 0.041667</output>

<gadget id="calculator">12 * 8</gadget>
<output>96</output>

<gadget id="calculator">1 / 96</gadget>
<output>1/96 = around 0.010417</output>

<gadget id="calculator">(1/96) * 6</gadget>
<output>1/16 = around 0.0625</output>

<gadget id="calculator">48 * 4</gadget>
<output>192</output>

<gadget id="calculator">1 / 192</gadget>
<output>1/192 = around 0.005208</output>

<gadget id="calculator">(1/192) * 4</gadget>
<output>1/48 = around 0.020833</output>

<gadget id="calculator">(1/16) + (1/48)</gadget>
<output>1/12 = around 0.083333</output>

<gadget id="calculator">(1/24) + (1/12)</gadget>
<output>1/8 = around 0.125</output>

<gadget id="calculator">1 / (1/8)</gadget>
<output>8</output>

<result>D</result>
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. in how many days can 6 men, 4 women and 10 children together complete the piece of work?
inverse(add(multiply(10, inverse(multiply(24, 10))), add(multiply(inverse(multiply(12, 8)), 6), multiply(inverse(multiply(48, 4)), 4))))
"explanation : 1 man ’ s 1 day ’ s work = 1 / 8 × 12 = 1 / 96 6 men ’ s 1 day ’ s work = 1 × 6 / 96 = 1 / 16 1 woman ’ s 1 day ’ s work = 1 / 192 4 women ’ s 1 day ’ s work = 1 / 192 × 4 = 1 / 48 1 child ’ s 1 day ’ s work = 1 / 240 10 children ’ s 1 day ’ s work = 1 / 24 therefore , ( 6 men + 4 women + 10 children ) ’ s 1 day ’ s work = 1 / 16 + 1 / 48 + 1 / 24 = 1 / 8 the required no . of days = 8 days answer : option d"