Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
$A$ and $B$ together can do a piece of work in 30 days. A having worked for 16 days, $B$ finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone ?
(a)30 days
(b)40 days
(c)60 days
(d)70 days
Answer
Answer (as printed): C
Explanation
Let A's 1 day's work $=x$ and B's 1 day's work $=y$. Then, $x+y=\frac{1}{30}$ and $16x+44y=1$. Solving these two equations, we get: $x=\frac{1}{60}$ and $y=\frac{1}{60}$. $\therefore$ B's 1 day's work $=\frac{1}{60}$. Hence, B alone shall finish the whole work in 60 days.
Explanation as extracted from the printed page; notation may be imperfect.