document.write( "Question 884691: If one man or two women or three boys can finish a work in 66days then how many days will one man, one woman and one boy together take to finish the same work? \n" ); document.write( "

Algebra.Com's Answer #534613 by MathTherapy(10551) $\"\"$ $\"About$

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\n" ); document.write( "If one man or two women or three boys can finish a work in 66days then how many days will one man, one woman and one boy together take to finish the same work?
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document.write( "Since 1 man can do the work in 66 days, he can do  of work in 1 day
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document.write( "Since 2 women can do the work in 66 days, then 1 woman can do work in 2(66), or 132 days, or  of work in 1 day
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document.write( "Since 3 boys can do the work in 66 days, then 1 boy can do work in 3(66), or 198 days, or  of work in 1 day
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document.write( "Therefore, with T being time it’ll take 1 man, 1 woman, and 1 boy, we have:
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document.write( "6T + 3T + 2T = 396 ------- Multiplying by LCD, 396T
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document.write( "11T = 396 ------- Cross-multiplying
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document.write( "T, or time taken by 1 man, 1 woman, and 1 boy to complete the work = , or  days
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