If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in ______.
A
21 days
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B
24 days
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C
26 days
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D
33 days
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Solution
The correct option is B24 days
Let x is the time it takes 1 man, 1 woman and 1 boy to do the piece of work One man works at the rate of 144 of the piece of work per day One women works at the rate of 12×44=188 of the piece of work per day One boy works at the rate of 13×44=1132 of the piece of work per day
So, to complete the piece of work we can write the equation as
144x+188x+1132x=1
⟹x=24
Therefore 1 man, 1 woman and 1 boy can do the same piece of work in 24days