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A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in how many days ?
  • a)
    3 days
               
  • b)
    4 days
  • c)
    5 days
              
  • d)
    6 days
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A piece of work can be done by 6 men and 5 women in 6 days or 3 men an...
To calculate the answer we need to get 1 man per day work and 1 woman per day work.
Let 1 man 1 day work =x
and 1 woman 1 days work = y. 
=> 6x+5y = 1/6 
and 3x+4y = 1/10 
On solving, we get x = 1/54 and y = 1/90 
(9 men + 15 women)'s 1 days work = 
(9/54) + (15/90) = 1/3 
9 men and 15 women will finish the work in 3 days
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Most Upvoted Answer
A piece of work can be done by 6 men and 5 women in 6 days or 3 men an...
Let one day work of one man be x
and one day work of one woman is y
then according to question,

6x +5y= 1/6
3x +4y = 1/10
so y= 1/90and x =1/54
so work of 9 men and 15 women be
9(1/54)+15(1/90) =1/3 that it took 3 days.
Free Test
Community Answer
A piece of work can be done by 6 men and 5 women in 6 days or 3 men an...
6 +10/6×10 then we will get 3.13.... from that we will got the answer 3 days.... simplee!!!!
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