Question

A company has a job to prepare certain number cans and there are three machines A, B and C for this job. A can complete the job in 3 days, B can complete the job in 4 days, and C can complete the job in 6 days. How many days will the company take to complete the job if all the machines are used simultaneously?

Accepted Answer

B. In 1 day, A does $\frac{1}{3}$, B does $\frac{1}{4}$, and C does $\frac{1}{6}$ of the work. Together in 1 day, they do $\frac{1}{3} + \frac{1}{4} + \frac{1}{6} = \frac{4 + 3 + 2}{12} = \frac{9}{12} = \frac{3}{4}$ of the work. Hence, time taken $= \frac{4}{3}$ days.

Time and Work - Cans Preparation

Explanation

Practise this under exam conditions