The work done by a man is double the work done by a woman in the same time. If 10 men can do a piece of work in 8 days, then in how many days that work can be done by 3 men and 4 women?
(a)4
(b)$7 \frac{3}{11}$
(c)8
(d)16
Answer
Answer (as printed): D
Explanation
2 women ≡ 1 man ⇔ 4 women ≡ 2 men. \ (3 men and 4 women) ≡ (3 + 2) men = 5 men. Let the required number of days be x. Less Men, More days (Indirect Proportion) \ 5 : 10 : : 8 : x ⇔ 5x = 10 × 8 ⇔ x = 16.
Explanation as extracted from the printed page; notation may be imperfect.