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RRB JE Time & Work Questions with Answers & Explanations

20 Time & Work questions from the Mathematics section of RRB JE, 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 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. A4 hours
  2. B20 hours
  3. C12 hours
  4. D15 hours
Show answer
Answer: (D) 15 hours Net filling per hour = 1/6 − 1/10 = 1/15, so 15 hours.
Question 2

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. A8 days
  2. B6 days
  3. C12.5 days
  4. D5 days
Show answer
Answer: (B) 6 days Together they do 1/10 + 1/15 = 1/6 of the work per day, so 6 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. A60 hours
  2. B8.5714285714286 hours
  3. C65 hours
  4. D57 hours
Show answer
Answer: (A) 60 hours Net filling per hour = 1/15 − 1/20 = 1/60, so 60 hours.
Question 4

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. B22.5 days
  3. C12 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.
Question 5

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. A24 hours
  2. B21 hours
  3. C4 hours
  4. D29 hours
Show answer
Answer: (A) 24 hours Net filling per hour = 1/8 − 1/12 = 1/24, so 24 hours.
Question 6

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. B9 days
  3. C6 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 7

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. B7.5 hours
  3. C20 hours
  4. D12 hours
Show answer
Answer: (A) 15 hours Net filling per hour = 1/10 − 1/30 = 1/15, so 15 hours.
Question 8

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. A20 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 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. B60 hours
  3. C65 hours
  4. D57 hours
Show answer
Answer: (B) 60 hours Net filling per hour = 1/20 − 1/30 = 1/60, so 60 hours.
Question 10

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. A25 days
  2. B11 days
  3. C14 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.

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Question 11

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. D5.1428571428571 hours
Show answer
Answer: (B) 36 hours Net filling per hour = 1/9 − 1/12 = 1/36, so 36 hours.
Question 12

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. A10 days
  2. B8 days
  3. C7 days
  4. D25 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 13

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. B23 days
  3. C24 days
  4. D50 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 14

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. A27 hours
  2. B35 hours
  3. C30 hours
  4. D5 hours
Show answer
Answer: (C) 30 hours Net filling per hour = 1/10 − 1/15 = 1/30, so 30 hours.
Question 15

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. A14 days
  2. B19 days
  3. C15 days
  4. D17 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 16

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. B13 days
  3. C16 days
  4. D18 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 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. C10 days
  4. D24.5 days
Show answer
Answer: (C) 10 days Together they do 1/14 + 1/35 = 1/10 of the work per day, so 10 days.
Question 18

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. A4 hours
  2. B4.8 hours
  3. C29 hours
  4. D24 hours
Show answer
Answer: (D) 24 hours Net filling per hour = 1/8 − 1/12 = 1/24, so 24 hours.
Question 19

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. A27 hours
  2. B6 hours
  3. C5 hours
  4. D30 hours
Show answer
Answer: (D) 30 hours Net filling per hour = 1/10 − 1/15 = 1/30, so 30 hours.
Question 20

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. A20 days
  2. B15 days
  3. C18 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.

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

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