Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in $\frac{1}{4}$ of a day ?
(a)1
(b)4
(c)19
(d)41
Answer
Answer (as printed): D
Explanation
(1 man + 1 woman)'s 1 day's work $=\left(\frac{1}{3}+\frac{1}{4}\right)=\frac{7}{12}$. Work done by 1 man and 1 woman in $\frac{1}{4}$ day $=\left(\frac{7}{12} \times \frac{1}{4}\right)=\frac{7}{48}$. Remaining work $=\left(1-\frac{7}{48}\right)=\frac{41}{48}$. Work done by 1 boy in $\frac{1}{4}$ day $=\left(\frac{1}{12} \times \frac{1}{4}\right)=\frac{1}{48}$. $\therefore$ Number of boys required $=\left(\frac{41}{48} \times 48\right)=41$.
Explanation as extracted from the printed page; notation may be imperfect.