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XAT Time & Work Questions with Answers & Explanations

19 Time & Work questions from the Quantitative Ability & Data Interpretation section of XAT, 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 10 days and B can complete it in 40 days. In how many days can they complete it working together?

  1. A8 days
  2. B12 days
  3. C10 days
  4. D7 days
  5. E25 days
Show answer
Answer: (A) 8 days Together they do 1/10 + 1/40 = 1/8 of the work per day, so 8 days.
Question 2

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. B15 days
  3. C20 days
  4. D18 days
  5. E16 days
Show answer
Answer: (E) 16 days Together they do 1/20 + 1/80 = 1/16 of the work per day, so 16 days.
Question 3

Pipe A can fill a tank in 6 hours and pipe B can empty it in 10 hours. If both are opened together, in how many hours will the empty tank be filled?

  1. A12 hours
  2. B3.75 hours
  3. C20 hours
  4. D4 hours
  5. E15 hours
Show answer
Answer: (E) 15 hours Net filling per hour = 1/6 − 1/10 = 1/15, so 15 hours.
Question 4

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. A31.5 days
  2. B16 days
  3. C18 days
  4. D13 days
  5. E14 days
Show answer
Answer: (E) 14 days Together they do 1/21 + 1/42 = 1/14 of the work per day, so 14 days.
Question 5

Pipe A can fill a tank in 8 hours and pipe B can empty it in 12 hours. If both are opened together, in how many hours will the empty tank be filled?

  1. A24 hours
  2. B29 hours
  3. C21 hours
  4. D4 hours
  5. E4.8 hours
Show answer
Answer: (A) 24 hours Net filling per hour = 1/8 − 1/12 = 1/24, so 24 hours.
Question 6

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 7

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. A16 days
  2. B27 days
  3. C11 days
  4. D12 days
  5. E14 days
Show answer
Answer: (D) 12 days Together they do 1/18 + 1/36 = 1/12 of the work per day, so 12 days.
Question 8

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. D8 days
  5. E11 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 9

Pipe A can fill a tank in 10 hours and pipe B can empty it in 30 hours. If both are opened together, in how many hours will the empty tank be filled?

  1. A20 hours
  2. B15 hours
  3. C7.5 hours
  4. D12 hours
  5. ENone of these
Show answer
Answer: (B) 15 hours Net filling per hour = 1/10 − 1/30 = 1/15, so 15 hours.
Question 10

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. A24 days
  2. B26 days
  3. C28 days
  4. D50 days
  5. E23 days
Show answer
Answer: (A) 24 days Together they do 1/40 + 1/60 = 1/24 of the work per day, so 24 days.

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Question 11

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. A12 days
  2. B14 days
  3. C11 days
  4. D16 days
  5. E25 days
Show answer
Answer: (A) 12 days Together they do 1/20 + 1/30 = 1/12 of the work per day, so 12 days.
Question 12

Pipe A can fill a tank in 15 hours and pipe B can empty it in 20 hours. If both are opened together, in how many hours will the empty tank be filled?

  1. A60 hours
  2. B65 hours
  3. C8.5714285714286 hours
  4. D57 hours
  5. E5 hours
Show answer
Answer: (A) 60 hours Net filling per hour = 1/15 − 1/20 = 1/60, so 60 hours.
Question 13

Pipe A can fill a tank in 9 hours and pipe B can empty it in 12 hours. If both are opened together, in how many hours will the empty tank be filled?

  1. A33 hours
  2. B5.1428571428571 hours
  3. C36 hours
  4. D3 hours
  5. E41 hours
Show answer
Answer: (C) 36 hours Net filling per hour = 1/9 − 1/12 = 1/36, so 36 hours.
Question 14

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. A19 days
  2. B32 days
  3. C14 days
  4. D15 days
  5. E17 days
Show answer
Answer: (D) 15 days Together they do 1/24 + 1/40 = 1/15 of the work per day, so 15 days.
Question 15

Pipe A can fill a tank in 20 hours and pipe B can empty it in 30 hours. If both are opened together, in how many hours will the empty tank be filled?

  1. A12 hours
  2. B60 hours
  3. C65 hours
  4. D10 hours
  5. E57 hours
Show answer
Answer: (B) 60 hours Net filling per hour = 1/20 − 1/30 = 1/60, so 60 hours.
Question 16

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. A22.5 days
  2. B9 days
  3. C12 days
  4. D10 days
  5. E14 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 17

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. A9 days
  2. B12 days
  3. C14 days
  4. D24.5 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 18

Pipe A can fill a tank in 20 hours and pipe B can empty it in 30 hours. If both are opened together, in how many hours will the empty tank be filled?

  1. A65 hours
  2. B10 hours
  3. C60 hours
  4. D12 hours
  5. E57 hours
Show answer
Answer: (C) 60 hours Net filling per hour = 1/20 − 1/30 = 1/60, so 60 hours.
Question 19

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. A13 days
  2. B14 days
  3. C18 days
  4. D16 days
  5. E31.5 days
Show answer
Answer: (B) 14 days Together they do 1/21 + 1/42 = 1/14 of the work per day, so 14 days.

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

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