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GATE Time & Work Questions with Answers & Explanations

15 Time & Work questions from the General Aptitude (Quantitative & Reasoning) section of GATE, 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

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
Show answer
Answer: (B) 15 hours Net filling per hour = 1/10 − 1/30 = 1/15, so 15 hours.
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. A18 days
  2. B15 days
  3. C16 days
  4. D50 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 3

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. A57 hours
  2. B8.5714285714286 hours
  3. C60 hours
  4. D65 hours
Show answer
Answer: (C) 60 hours Net filling per hour = 1/15 − 1/20 = 1/60, so 60 hours.
Question 4

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. B3 days
  3. C6 days
  4. D9 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 5

Pipe A can fill a tank in 12 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. A27 hours
  2. B30 hours
  3. C8 hours
  4. D7.5 hours
Show answer
Answer: (B) 30 hours Net filling per hour = 1/12 − 1/20 = 1/30, so 30 hours.
Question 6

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. B36 hours
  3. C3 hours
  4. D5.1428571428571 hours
Show answer
Answer: (B) 36 hours Net filling per hour = 1/9 − 1/12 = 1/36, so 36 hours.
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. B10 days
  3. C24.5 days
  4. D9 days
Show answer
Answer: (B) 10 days Together they do 1/14 + 1/35 = 1/10 of the work per day, so 10 days.
Question 8

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. A29 hours
  2. B4.8 hours
  3. C21 hours
  4. D24 hours
Show answer
Answer: (D) 24 hours Net filling per hour = 1/8 − 1/12 = 1/24, so 24 hours.
Question 9

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. A10 hours
  2. B65 hours
  3. C60 hours
  4. D57 hours
Show answer
Answer: (C) 60 hours Net filling per hour = 1/20 − 1/30 = 1/60, so 60 hours.
Question 10

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. A10 days
  2. B9 days
  3. C22.5 days
  4. D14 days
Show answer
Answer: (A) 10 days Together they do 1/15 + 1/30 = 1/10 of the work per day, so 10 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. A24 days
  2. B28 days
  3. C23 days
  4. D50 days
Show answer
Answer: (A) 24 days Together they do 1/40 + 1/60 = 1/24 of the work per day, so 24 days.
Question 12

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. B20 hours
  3. C3.75 hours
  4. D15 hours
Show answer
Answer: (D) 15 hours Net filling per hour = 1/6 − 1/10 = 1/15, so 15 hours.
Question 13

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. A8 days
  2. B13 days
  3. C24 days
  4. D9 days
Show answer
Answer: (D) 9 days Together they do 1/12 + 1/36 = 1/9 of the work per day, so 9 days.
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. A17 days
  2. B15 days
  3. C14 days
  4. D19 days
Show answer
Answer: (B) 15 days Together they do 1/24 + 1/40 = 1/15 of the work per day, so 15 days.
Question 15

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. A16 days
  2. B14 days
  3. C11 days
  4. D12 days
Show answer
Answer: (D) 12 days Together they do 1/20 + 1/30 = 1/12 of the work per day, so 12 days.

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

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