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SBI Clerk Time & Work Questions with Answers & Explanations

17 Time & Work questions from the Numerical Ability section of SBI Clerk, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

A can complete a work in 12 days and B can complete it in 36 days. In how many days can they complete it working together?

  1. A13 days
  2. B9 days
  3. C24 days
  4. D11 days
  5. E8 days
Show answer
Answer: (B) 9 days Together they do 1/12 + 1/36 = 1/9 of the work per day, so 9 days.
Question 2

A can complete a work in 15 days and B can complete it in 30 days. In how many days can they complete it working together?

  1. A12 days
  2. B9 days
  3. C14 days
  4. D10 days
  5. E22.5 days
Show answer
Answer: (D) 10 days Together they do 1/15 + 1/30 = 1/10 of the work per day, so 10 days.
Question 3

A can complete a work in 20 days and B can complete it in 80 days. In how many days can they complete it working together?

  1. A50 days
  2. B18 days
  3. C16 days
  4. D20 days
  5. E15 days
Show answer
Answer: (C) 16 days Together they do 1/20 + 1/80 = 1/16 of the work per day, so 16 days.
Question 4

A can complete a work in 12 days and B can complete it in 24 days. In how many days can they complete it working together?

  1. A18 days
  2. B12 days
  3. C7 days
  4. D10 days
  5. E8 days
Show answer
Answer: (E) 8 days Together they do 1/12 + 1/24 = 1/8 of the work per day, so 8 days.
Question 5

A can complete a work in 12 days and B can complete it in 36 days. In how many days can they complete it working together?

  1. A11 days
  2. B13 days
  3. C9 days
  4. D24 days
  5. E8 days
Show answer
Answer: (C) 9 days Together they do 1/12 + 1/36 = 1/9 of the work per day, so 9 days.
Question 6

A can complete a work in 6 days and B can complete it in 12 days. In how many days can they complete it working together?

  1. A4 days
  2. B6 days
  3. C8 days
  4. D9 days
  5. E3 days
Show answer
Answer: (A) 4 days Together they do 1/6 + 1/12 = 1/4 of the work per day, so 4 days.
Question 7

A can complete a work in 14 days and B can complete it in 35 days. In how many days can they complete it working together?

  1. A14 days
  2. B24.5 days
  3. C12 days
  4. D9 days
  5. E10 days
Show answer
Answer: (E) 10 days Together they do 1/14 + 1/35 = 1/10 of the work per day, so 10 days.
Question 8

A can complete a work in 18 days and B can complete it in 36 days. In how many days can they complete it working together?

  1. A11 days
  2. B27 days
  3. C12 days
  4. D14 days
  5. E16 days
Show answer
Answer: (C) 12 days Together they do 1/18 + 1/36 = 1/12 of the work per day, so 12 days.
Question 9

A can complete a work in 24 days and B can complete it in 40 days. In how many days can they complete it working together?

  1. A32 days
  2. B19 days
  3. C15 days
  4. D17 days
  5. E14 days
Show answer
Answer: (C) 15 days Together they do 1/24 + 1/40 = 1/15 of the work per day, so 15 days.
Question 10

A can complete a work in 21 days and B can complete it in 42 days. In how many days can they complete it working together?

  1. A16 days
  2. B13 days
  3. C14 days
  4. D18 days
  5. E31.5 days
Show answer
Answer: (C) 14 days Together they do 1/21 + 1/42 = 1/14 of the work per day, so 14 days.

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Question 11

A can complete a work in 40 days and B can complete it in 60 days. In how many days can they complete it working together?

  1. A28 days
  2. B26 days
  3. C23 days
  4. D50 days
  5. E24 days
Show answer
Answer: (E) 24 days Together they do 1/40 + 1/60 = 1/24 of the work per day, so 24 days.
Question 12

A can complete a work in 20 days and B can complete it in 30 days. In how many days can they complete it working together?

  1. A25 days
  2. B16 days
  3. C14 days
  4. D12 days
  5. E11 days
Show answer
Answer: (D) 12 days Together they do 1/20 + 1/30 = 1/12 of the work per day, so 12 days.
Question 13

A can complete a work in 10 days and B can complete it in 15 days. In how many days can they complete it working together?

  1. A5 days
  2. B12.5 days
  3. C10 days
  4. D8 days
  5. E6 days
Show answer
Answer: (E) 6 days Together they do 1/10 + 1/15 = 1/6 of the work per day, so 6 days.
Question 14

A can complete a work in 10 days and B can complete it in 40 days. In how many days can they complete it working together?

  1. A12 days
  2. B25 days
  3. C8 days
  4. D10 days
  5. E7 days
Show answer
Answer: (C) 8 days Together they do 1/10 + 1/40 = 1/8 of the work per day, so 8 days.
Question 15

A can complete a work in 30 days and B can complete it in 60 days. In how many days can they complete it working together?

  1. A19 days
  2. B22 days
  3. C24 days
  4. D45 days
  5. E20 days
Show answer
Answer: (E) 20 days Together they do 1/30 + 1/60 = 1/20 of the work per day, so 20 days.
Question 16

A can complete a work in 40 days and B can complete it in 60 days. In how many days can they complete it working together?

  1. A50 days
  2. B26 days
  3. C23 days
  4. D24 days
  5. E28 days
Show answer
Answer: (D) 24 days Together they do 1/40 + 1/60 = 1/24 of the work per day, so 24 days.
Question 17

A can complete a work in 10 days and B can complete it in 40 days. In how many days can they complete it working together?

  1. A7 days
  2. B8 days
  3. C12 days
  4. D25 days
  5. E10 days
Show answer
Answer: (B) 8 days Together they do 1/10 + 1/40 = 1/8 of the work per day, so 8 days.

These are RankerClub practice questions written in the SBI Clerk pattern. They are not official SSC/IBPS/RRB papers.

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