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UPTET Time & Work Questions with Answers & Explanations

20 Time & Work questions from the Mathematics section of UPTET, 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 6 days and B can complete it in 12 days. In how many days can they complete it working together?

  1. A6 days
  2. B9 days
  3. C4 days
  4. D3 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 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. A20 hours
  2. B12 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 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. B5 hours
  3. C8.5714285714286 hours
  4. D60 hours
Show answer
Answer: (D) 60 hours Net filling per hour = 1/15 − 1/20 = 1/60, so 60 hours.
Question 4

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. B17 days
  3. C15 days
  4. D32 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 5

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. A57 hours
  2. B60 hours
  3. C65 hours
  4. D12 hours
Show answer
Answer: (B) 60 hours Net filling per hour = 1/20 − 1/30 = 1/60, so 60 hours.
Question 6

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. D12 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 7

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. C30 hours
  4. D27 hours
Show answer
Answer: (C) 30 hours Net filling per hour = 1/12 − 1/20 = 1/30, so 30 hours.
Question 8

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. A6 days
  2. B3 days
  3. C8 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 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. 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.
Question 10

Pipe A can fill a tank in 10 hours and pipe B can empty it in 15 hours. If both are opened together, in how many hours will the empty tank be filled?

  1. A30 hours
  2. B35 hours
  3. C5 hours
  4. D27 hours
Show answer
Answer: (A) 30 hours Net filling per hour = 1/10 − 1/15 = 1/30, so 30 hours.

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Question 11

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. A14 days
  2. B18 days
  3. C16 days
  4. D31.5 days
Show answer
Answer: (A) 14 days Together they do 1/21 + 1/42 = 1/14 of the work per day, so 14 days.
Question 12

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. B24 days
  3. C13 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 13

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. B12 hours
  3. C20 hours
  4. D3.75 hours
Show answer
Answer: (A) 15 hours Net filling per hour = 1/6 − 1/10 = 1/15, so 15 hours.
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. C24 hours
  4. D4 hours
Show answer
Answer: (C) 24 hours Net filling per hour = 1/8 − 1/12 = 1/24, so 24 hours.
Question 15

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. C33 hours
  4. D41 hours
Show answer
Answer: (B) 36 hours Net filling per hour = 1/9 − 1/12 = 1/36, so 36 hours.
Question 16

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. A27 days
  2. B14 days
  3. C12 days
  4. D11 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 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. A12 days
  2. B8 days
  3. C7 days
  4. D10 days
Show answer
Answer: (B) 8 days Together they do 1/10 + 1/40 = 1/8 of the work per day, so 8 days.
Question 18

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. B8 days
  3. C6 days
  4. D3 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 19

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. B20 hours
  3. C7.5 hours
  4. D15 hours
Show answer
Answer: (D) 15 hours Net filling per hour = 1/10 − 1/30 = 1/15, so 15 hours.
Question 20

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. A20 hours
  2. B15 hours
  3. C12 hours
  4. D4 hours
Show answer
Answer: (B) 15 hours Net filling per hour = 1/6 − 1/10 = 1/15, so 15 hours.

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

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