Question 89

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

Solution

(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 =$$ efficiency \times time $$

$$ time = \frac{400}{20} = 20 days $$

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