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ExamsIBPS POQuantitative Aptitude

Let one woman, one man, and one child complete $w$, $m$, and $c$ units of work in one day, respectively. If $2w = 1.5m = 6c$, and the total work is equal to the work done by 15 women, 8 men, and 8 children in one day, then what is the value of $x$ if $x$ women working for 2 days complete the same work as 9 men working for $(y+20)$ days, where $y=20$?

  1. 12
  2. 15
  3. 18
  4. 20

Correct answer: 12

Solution

From $2w=1.5m=6c$, the efficiencies are in the ratio $w:m:c=3:4:1$. Using the total work condition and the second relation with $y=20$, the value of $x$ comes out to be 12.

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