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SSC GD Constable Time & Work Questions with Answers & Explanations

19 Time & Work questions from the Elementary Mathematics section of SSC GD Constable, 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 24 days and B can complete it in 40 days. In how many days can they complete it working together?

  1. A17 days
  2. B32 days
  3. C15 days
  4. D19 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 2

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. A15 hours
  2. B3.75 hours
  3. C4 hours
  4. D20 hours
Show answer
Answer: (A) 15 hours Net filling per hour = 1/6 − 1/10 = 1/15, so 15 hours.
Question 3

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. C14 days
  4. D12 days
Show answer
Answer: (A) 10 days Together they do 1/15 + 1/30 = 1/10 of the work per day, so 10 days.
Question 4

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. B57 hours
  3. C65 hours
  4. D5 hours
Show answer
Answer: (A) 60 hours Net filling per hour = 1/15 − 1/20 = 1/60, so 60 hours.
Question 5

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. B19 days
  3. C32 days
  4. D15 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 6

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. C12 hours
  4. D60 hours
Show answer
Answer: (D) 60 hours Net filling per hour = 1/20 − 1/30 = 1/60, so 60 hours.
Question 7

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. C20 days
  4. D16 days
Show answer
Answer: (D) 16 days Together they do 1/20 + 1/80 = 1/16 of the work per day, so 16 days.
Question 8

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. A35 hours
  2. B27 hours
  3. C8 hours
  4. D30 hours
Show answer
Answer: (D) 30 hours Net filling per hour = 1/12 − 1/20 = 1/30, so 30 hours.
Question 9

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. A23 days
  2. B28 days
  3. C24 days
  4. D26 days
Show answer
Answer: (C) 24 days Together they do 1/40 + 1/60 = 1/24 of the work per day, so 24 days.
Question 10

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. A12 hours
  2. B15 hours
  3. C20 hours
  4. D7.5 hours
Show answer
Answer: (B) 15 hours Net filling per hour = 1/10 − 1/30 = 1/15, so 15 hours.

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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. A14 days
  2. B11 days
  3. C12 days
  4. D25 days
Show answer
Answer: (C) 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 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. A3 hours
  2. B36 hours
  3. C41 hours
  4. D33 hours
Show answer
Answer: (B) 36 hours Net filling per hour = 1/9 − 1/12 = 1/36, so 36 hours.
Question 13

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. A3 days
  2. B6 days
  3. C9 days
  4. D4 days
Show answer
Answer: (D) 4 days Together they do 1/6 + 1/12 = 1/4 of the work per day, so 4 days.
Question 14

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. A21 hours
  2. B29 hours
  3. C4.8 hours
  4. D24 hours
Show answer
Answer: (D) 24 hours Net filling per hour = 1/8 − 1/12 = 1/24, so 24 hours.
Question 15

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. A6 days
  2. B12.5 days
  3. C8 days
  4. D5 days
Show answer
Answer: (A) 6 days Together they do 1/10 + 1/15 = 1/6 of the work per day, so 6 days.
Question 16

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. B45 days
  3. C20 days
  4. D24 days
Show answer
Answer: (C) 20 days Together they do 1/30 + 1/60 = 1/20 of the work per day, so 20 days.
Question 17

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. A12 days
  2. B18 days
  3. C10 days
  4. D8 days
Show answer
Answer: (D) 8 days Together they do 1/12 + 1/24 = 1/8 of the work per day, so 8 days.
Question 18

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. B14 days
  3. C18 days
  4. D31.5 days
Show answer
Answer: (B) 14 days Together they do 1/21 + 1/42 = 1/14 of the work per day, so 14 days.
Question 19

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. A8 hours
  2. B30 hours
  3. C27 hours
  4. D7.5 hours
Show answer
Answer: (B) 30 hours Net filling per hour = 1/12 − 1/20 = 1/30, so 30 hours.

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

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