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4 men and 4 women finish a job in 3 days; 2 men and 5 women in 4 days. How long would 1 man alone take?

Competition practiceTime & Work / Pipes

A36 days
B18 days
C12 days
D24 days

Step-by-Step Solution

Doubling the second:

4 m + 10 w = \frac{1}{2}

; subtract:

6 w = \frac{1}{6}, w = \frac{1}{36}

;

4 m = \frac{1}{3} - \frac{4}{36}, m = \frac{1}{18}

.

Answer: B) 18 days

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