Subject: General Aptitude · Chapter: Average · Exam: 2009 · Marks: · Difficulty:
In a certain factory there are five workers A, B, C, D and $E . A$ can complete a work in 4 minutes, $B$ in 5 minutes, $C$ in 6 minutes, $D$ in 10 minutes and $E$ in 12 minutes. The average number of units of work completed per worker per minute will be
(a)0.16
(b)0.172
(c)0.80
(d)0.87
Answer
Answer (as printed): A
Explanation
Number of units of work completed by the five workers in 1 minute: $$\begin{aligned} & A \rightarrow \frac{1}{4}, B \rightarrow \frac{1}{5}, C \rightarrow \frac{1}{6}, D \rightarrow \frac{1}{10}, E \rightarrow \frac{1}{12} . \\ & \begin{aligned} \therefore \text { Required average } & =\frac{\left(\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{10}+\frac{1}{12}\right)}{5}=\left(\frac{4}{5} \times \frac{1}{5}\right)=\frac{4}{25} \\ & =0.16 . \end{aligned} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.