Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ?
(a)35
(b)40
(c)45
(d)50
Answer
Answer (as printed): B
Explanation
Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y. Then, $4x + 6y = \frac{1}{8}$ and $3x + 7y = \frac{1}{10}$. Solving these two equations, we get: $x = \frac{11}{400}$, $y = \frac{1}{400}$. $\therefore$ 1 woman's 1 day's work = $\frac{1}{400}$. $\Rightarrow$ 10 women's 1 day's work = $\frac{1}{400} \times 10 = \frac{1}{40}$. Hence, 10 women will complete the work in 40 days.
Explanation as extracted from the printed page; notation may be imperfect.