4 men and 3 women finish a work in 6 days 5 men and 7 women can do the same job in 4 days How long w...........

Quantitative Aptitude (CDS) Time and work

4 men and 3 women finish a work in 6 days.5 men and 7 women can do the same job in 4 days .How long will 1 man and 1 women take to do the work?

22(2/7)days

24 days

22 days

15 days

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Explanation:

one day work
4 men + 3 women=1/6 ----1
5 men+ 7 women=1/4 ----2
solving 1 and 2
-13w=5/6 -1
w=1/78
one women finish the work in 78 days
m=5/156
one man finish the work in 156/5 days
one man and one woman together one day work=1/78 + 5/156
=2+5/156
=7/156
completes total work in =156/7
=22(2/7)days