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ICSE Class 8 Answered

2 men and 5 women can do a piece of work in 4 days,while one man and one woman can finish it in 12 days.how long it take for a man to do the work?  
Asked by adityachoraria18 | 18 Feb, 2018, 09:11: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space work space done space by space man space be space straight m space and space work space done space by space woman space be space straight n.
2 straight m plus 5 straight n equals 1 fourth
8 straight m plus 10 straight n equals 1
10 straight n equals 1 minus 8 straight m
straight n equals fraction numerator 1 minus 8 straight m over denominator 10 end fraction............ left parenthesis straight i right parenthesis
straight m plus straight n equals 1 over 12
12 straight m plus 12 straight n equals 1........... left parenthesis ii right parenthesis
From space left parenthesis straight i right parenthesis
12 straight m plus 12 straight n equals 1
12 straight m plus 12 open parentheses fraction numerator 1 minus 8 straight m over denominator 10 end fraction close parentheses equals 1
implifying space you space get space straight m equals 1 over 12
One space man space can space finish space work space in space 12 space days.
end style
Answered by Sneha shidid | 19 Feb, 2018, 10:45: AM
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