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SSC CHSL Time & Work Questions with Answers & Explanations

20 Time & Work questions from the Quantitative Aptitude section of SSC CHSL, 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.

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. A12 days
  2. B10 days
  3. C7 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 2

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. A5.1428571428571 hours
  2. B41 hours
  3. C36 hours
  4. D3 hours
Show answer
Answer: (C) 36 hours Net filling per hour = 1/9 βˆ’ 1/12 = 1/36, so 36 hours.
Question 3

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. B35 hours
  3. C30 hours
  4. D27 hours
Show answer
Answer: (C) 30 hours Net filling per hour = 1/12 βˆ’ 1/20 = 1/30, so 30 hours.
Question 4

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. B16 days
  3. C11 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 5

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. A5 hours
  2. B35 hours
  3. C30 hours
  4. D27 hours
Show answer
Answer: (C) 30 hours Net filling per hour = 1/10 βˆ’ 1/15 = 1/30, so 30 hours.
Question 6

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. A28 days
  2. B24 days
  3. C26 days
  4. D23 days
Show answer
Answer: (B) 24 days Together they do 1/40 + 1/60 = 1/24 of the work per day, so 24 days.
Question 7

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. B18 days
  3. C14 days
  4. D31.5 days
Show answer
Answer: (C) 14 days Together they do 1/21 + 1/42 = 1/14 of the work per day, so 14 days.
Question 8

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. A7.5 hours
  2. B12 hours
  3. C15 hours
  4. D20 hours
Show answer
Answer: (C) 15 hours Net filling per hour = 1/10 βˆ’ 1/30 = 1/15, so 15 hours.
Question 9

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. A12 days
  2. B10 days
  3. C9 days
  4. D14 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 10

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. A24 days
  2. B11 days
  3. C9 days
  4. D8 days
Show answer
Answer: (C) 9 days Together they do 1/12 + 1/36 = 1/9 of the work per day, so 9 days.

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Question 11

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. C8 days
  4. D10 days
Show answer
Answer: (C) 8 days Together they do 1/10 + 1/40 = 1/8 of the work per day, so 8 days.
Question 12

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. A8 days
  2. B7 days
  3. C12 days
  4. D10 days
Show answer
Answer: (A) 8 days Together they do 1/12 + 1/24 = 1/8 of the work per day, so 8 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. C4 hours
  4. D4.8 hours
Show answer
Answer: (B) 24 hours Net filling per hour = 1/8 βˆ’ 1/12 = 1/24, so 24 hours.
Question 14

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. A12 days
  2. B22.5 days
  3. C9 days
  4. D10 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 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. A65 hours
  2. B60 hours
  3. C12 hours
  4. D10 hours
Show answer
Answer: (B) 60 hours Net filling per hour = 1/20 βˆ’ 1/30 = 1/60, so 60 hours.
Question 16

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. C4 hours
  4. D20 hours
Show answer
Answer: (A) 15 hours Net filling per hour = 1/6 βˆ’ 1/10 = 1/15, so 15 hours.
Question 17

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. C20 days
  4. D45 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 18

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. B12 days
  3. C14 days
  4. D11 days
Show answer
Answer: (B) 12 days Together they do 1/20 + 1/30 = 1/12 of the work per day, so 12 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. A35 hours
  2. B30 hours
  3. C27 hours
  4. D7.5 hours
Show answer
Answer: (B) 30 hours Net filling per hour = 1/12 βˆ’ 1/20 = 1/30, so 30 hours.
Question 20

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. A15 hours
  2. B12 hours
  3. C7.5 hours
  4. D20 hours
Show answer
Answer: (A) 15 hours Net filling per hour = 1/10 βˆ’ 1/30 = 1/15, so 15 hours.

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

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