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Time & Work — Quantitative Aptitude Questions & Practice

Practise 24 Time & Work questions from Quantitative Aptitude for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on Time & Work — with answers

Try each question first, then open the answer. Explanations are included.

1. A can complete a piece of work in 10 days, and B can complete the same work in 15 days. Working together, in how many days will they complete the work?

  1. A6
  2. B5
  3. C7
  4. D8
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Answer: A

A's 1-day work = 1/10; B's 1-day work = 1/15. Combined 1-day work = 1/10+1/15 = 25/150. Time together = 150/25 = 6 days.

2. A can complete a piece of work in 12 days, and B can complete the same work in 18 days. Working together, in how many days will they complete the work?

  1. A6.2
  2. B7.2
  3. C8.2
  4. D9.2
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Answer: B

A's 1-day work = 1/12; B's 1-day work = 1/18. Combined 1-day work = 1/12+1/18 = 30/216. Time together = 216/30 = 7.2 days.

3. A can complete a piece of work in 8 days, and B can complete the same work in 12 days. Working together, in how many days will they complete the work?

  1. A3.8
  2. B5.8
  3. C4.8
  4. D6.8
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Answer: C

A's 1-day work = 1/8; B's 1-day work = 1/12. Combined 1-day work = 1/8+1/12 = 20/96. Time together = 96/20 = 4.8 days.

4. A can complete a piece of work in 20 days, and B can complete the same work in 30 days. Working together, in how many days will they complete the work?

  1. A11
  2. B13
  3. C14
  4. D12
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Answer: D

A's 1-day work = 1/20; B's 1-day work = 1/30. Combined 1-day work = 1/20+1/30 = 50/600. Time together = 600/50 = 12 days.

5. A can complete a piece of work in 15 days, and B can complete the same work in 20 days. Working together, in how many days will they complete the work?

  1. A8.57
  2. B7.57
  3. C9.57
  4. D10.57
Show answer

Answer: A

A's 1-day work = 1/15; B's 1-day work = 1/20. Combined 1-day work = 1/15+1/20 = 35/300. Time together = 300/35 = 8.57 days.

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