4 men and 6 women together can complete a work in 8 days while 3 men and 7 women together can complete it in 10 days. 20 womenworking together will complete it in
(4m + 6w)8 = (3m + 7w)10
32m + 48w = 30m + 70w
32m -30m = 70w - 48w
2m = 22w
$$ \frac{1}{11} = \frac{w}{m} $$
Total work done = $$ (4 \times 11 + 6 \times 1) \times 8 = 400 $$
work done =$$ efficiency \times time $$
$$ time = \frac{400}{20} = 20 days $$Â
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