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AFCAT Time and Work — practice questions

Explore 9 free Time and Work questions in AFCAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Time and Work questions and exercises with answers

Showing questions 1–9 of 9.

Worked practice questions

As the number of workers on a job increases, the time taken to finish it:

  1. Increases in the same ratio
  2. Stays the same
  3. First rises, then falls
  4. Decreases
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Correct answer: D. Decreases

1. Two quantities are in inverse proportion when one rises as the other falls. 2. As the number of workers increases, the time taken to finish the job decreases. 3. Doubling the workers halves the time, so the product of workers and days stays constant. 4. That constant product is the total work to be done. 5. Option A describes direct proportion, which is the opposite relationship. _Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_

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If 6 men finish a job in 10 days, how many days will 4 men take at the same rate?

  1. 15 days
  2. 12 days
  3. 16 days
  4. 20 days
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Correct answer: A. 15 days

1. Men and days are in inverse proportion, so their product is the total work. 2. The work here is 6 x 10 = 60 man-days. 3. With 4 men, the days needed are 60 / 4. 4. That is 15 days. 5. Fewer men must mean more days, so any answer below 10 would be wrong on inspection. _Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_

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If 12 workers can complete a task in 8 days, 16 workers will complete it in:

  1. 4 days
  2. 6 days
  3. 9 days
  4. 10 days
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Correct answer: B. 6 days

1. The total work is 12 x 8 = 96 worker-days. 2. This total does not change when the team size changes. 3. With 16 workers the time needed is 96 / 16. 4. That is 6 days. 5. More workers means fewer days, so the answer must fall below 8, which rules out 9 and 10. _Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_

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