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If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it?

a) 10 days
b) 11 days
c) 9 days
d) 12 days

Answer: d
Explanation: 3 men or 4 women can plough the field in 43 days
3 men = 4 women
1 man = $$\frac{4}{3}$$ women
7 man = $$\frac{{28}}{3}$$ women
7 men and 5 women = $$5 + \frac{{28}}{3}$$  = $$\frac{{43}}{3}$$ women
4 women can plough field in 43 days
1 women can plough in = 43 × 4 days
$$\frac{{43}}{3}$$ women can plough = $$\frac{{43 \times 4 \times 3}}{{43}}$$   = 12 days

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