Let the time taken by 3 men = x days Time taken by 9 women = x + 5 days 3m = x day 2 m =
3x
2
days Similarly, 9w = x + 5 days 3w = 3(x + 5) days ATQ,
2
3x
+
1
3(x+5)
=
1
6
2x+10+x
3x(x+5)
=
1
6
⇒ 18x + 60 = 3x2 + 15x ⇒ 3x2 − 3x − 60 = 0 Time taken by 1 man = 3x = 3 × 5 = 15 days Time taken by 1 women = 9(x + 5) = 90 days Required output = 6 times