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Time and Work - Cans Preparation

CAT 1998 Slot 1 · Quantitative Ability · Easy · Arithmetic

This is an easy Quantitative Ability question from the CAT 1998 Slot 1 paper. It tests Arithmetic. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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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?

  1. A.

    4 days

  2. B.

    4/3 days

  3. C.

    3 days

  4. D.

    12 days

Answer

B

Explanation

In 1 day, A does 13\frac{1}{3}, B does 14\frac{1}{4}, and C does 16\frac{1}{6} of the work.

Together in 1 day, they do 13+14+16=4+3+212=912=34\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 =43= \frac{4}{3} days.

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