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UP Police Constable Time & Work Questions with Answers & Explanations

20 Time & Work questions from the Numerical & Mental Ability section of UP Police 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

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. B7.5 hours
  3. C12 hours
  4. D15 hours
Show answer
Answer: (D) 15 hours Net filling per hour = 1/10 − 1/30 = 1/15, so 15 hours.
Question 2

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. B10 days
  3. C8 days
  4. D18 days
Show answer
Answer: (C) 8 days Together they do 1/12 + 1/24 = 1/8 of the work per day, so 8 days.
Question 3

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. A20 days
  2. B19 days
  3. C45 days
  4. D22 days
Show answer
Answer: (A) 20 days Together they do 1/30 + 1/60 = 1/20 of the work per day, so 20 days.
Question 4

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. D26 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 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. A35 hours
  2. B8 hours
  3. C7.5 hours
  4. D30 hours
Show answer
Answer: (D) 30 hours Net filling per hour = 1/12 − 1/20 = 1/30, so 30 hours.
Question 6

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. A9 days
  2. B10 days
  3. C14 days
  4. D22.5 days
Show answer
Answer: (B) 10 days Together they do 1/15 + 1/30 = 1/10 of the work per day, so 10 days.
Question 7

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. A3.75 hours
  2. B12 hours
  3. C4 hours
  4. D15 hours
Show answer
Answer: (D) 15 hours Net filling per hour = 1/6 − 1/10 = 1/15, so 15 hours.
Question 8

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. B60 hours
  3. C8.5714285714286 hours
  4. D5 hours
Show answer
Answer: (B) 60 hours Net filling per hour = 1/15 − 1/20 = 1/60, so 60 hours.
Question 9

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. A25 days
  2. B12 days
  3. C10 days
  4. D8 days
Show answer
Answer: (D) 8 days Together they do 1/10 + 1/40 = 1/8 of the work per day, so 8 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. C7.5 hours
  4. D20 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 6 days and B can complete it in 12 days. In how many days can they complete it working together?

  1. A8 days
  2. B3 days
  3. C4 days
  4. D9 days
Show answer
Answer: (C) 4 days Together they do 1/6 + 1/12 = 1/4 of the work per day, so 4 days.
Question 12

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. A14 days
  2. B11 days
  3. C27 days
  4. D12 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 13

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. B24 hours
  3. C21 hours
  4. D4.8 hours
Show answer
Answer: (B) 24 hours Net filling per hour = 1/8 − 1/12 = 1/24, so 24 hours.
Question 14

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. B25 days
  3. C12 days
  4. D14 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 15

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. B14 days
  3. C13 days
  4. D16 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 16

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. B41 hours
  3. C33 hours
  4. D36 hours
Show answer
Answer: (D) 36 hours Net filling per hour = 1/9 − 1/12 = 1/36, so 36 hours.
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. A14 days
  2. B9 days
  3. C12 days
  4. D10 days
Show answer
Answer: (D) 10 days Together they do 1/14 + 1/35 = 1/10 of the work per day, so 10 days.
Question 18

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. A9 days
  2. B11 days
  3. C13 days
  4. D8 days
Show answer
Answer: (A) 9 days Together they do 1/12 + 1/36 = 1/9 of the work per day, so 9 days.
Question 19

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. A15 days
  2. B32 days
  3. C17 days
  4. D19 days
Show answer
Answer: (A) 15 days Together they do 1/24 + 1/40 = 1/15 of the work per day, so 15 days.
Question 20

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. C8.5714285714286 hours
  4. D65 hours
Show answer
Answer: (A) 60 hours Net filling per hour = 1/15 − 1/20 = 1/60, so 60 hours.

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

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