Start learning →

CAT Time and Work — practice questions

Explore 8 free Time and Work questions in CAT Quantitative Reasoning. Open each question or exercise to read its content, reference answers and available explanation.

Practise Time and Work with Quill →

Time and Work questions and exercises with answers

Showing questions 1–8 of 8.

A can do a job in 8 days, B in 12 days. How long do A and B take working together?Read the answer and worked solution →A finishes a job in 6 days, B in 4 days. Using the LCM trick (work = 12 units), what is B's daily rate?Read the answer and worked solution →A, B, C complete jobs alone in 10, 12, 15 days. Working together, they finish in:Read the answer and worked solution →Two pipes A and B fill a tank in 4 and 6 hours. A drain C empties it in 12 hours. With all three open, how long to fill?Read the answer and worked solution →A is twice as efficient as B. B alone finishes a job in 18 days. How long do A and B together take?Read the answer and worked solution →20 workers can complete a project in 25 days. How long would 25 workers take to complete the same project?Read the answer and worked solution →A pipe fills a tank in 4 hours. Due to a leak, it now takes 6 hours. The leak alone would empty a full tank in:Read the answer and worked solution →A is 50% more efficient than B. If B takes 30 days to complete a task alone, how many days does A take alone?Read the answer and worked solution →

Worked practice questions

A can do a job in 8 days, B in 12 days. How long do A and B take working together?

  1. $10$ days
  2. $6$ days
  3. $4.8$ days
  4. $3.6$ days
Show answer and solution

Correct answer: C. $4.8$ days

Combined rate = 1/8 + 1/12 = 3/24 + 2/24 = 5/24. Time = 24/5 = 4.8 days. *Shortcut: AB/(A+B) = 96/20 = 4.8.*

Open this question →

A finishes a job in 6 days, B in 4 days. Using the LCM trick (work = 12 units), what is B's daily rate?

  1. $2$ units per day
  2. $3$ units per day
  3. $4$ units per day
  4. $6$ units per day
Show answer and solution

Correct answer: B. $3$ units per day

Work = LCM(6,4) = 12. B's rate = 12/4 = 3 units/day. A's rate = 12/6 = 2 units/day. Together 5 units/day. Time together = 12/5 = 2.4 days.

Open this question →

A, B, C complete jobs alone in 10, 12, 15 days. Working together, they finish in:

  1. $4$ days
  2. $5$ days
  3. $6$ days
  4. $8$ days
Show answer and solution

Correct answer: A. $4$ days

LCM(10,12,15)=60. Rates: 6, 5, 4. Combined = 15 units/day. Time = 60/15 = 4 days.

Open this question →

How to practise

  1. Choose a Time and Work question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Time and Work practice for CAT. Read explanations as you go. No signup form needed to start.

Practise Time and Work →

More Quantitative Reasoning topics

Modern MathematicsAlgebraLogical ReasoningPermutations and CombinationsQuantitative AptitudeAverages and MixturesSimple and Compound InterestBoats and Streams