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MAT Time and Work — practice questions

Explore 46 free Time and Work questions in MAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Time and Work questions and exercises with answers

Showing questions 1–30 of 46.

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 →Order the steps to solve a time-and-work problem (A finishes in 12d, B in 8d)Read the answer and worked solution →P does a piece of work in 15 days; Q in 20 days. If they work together for 4 days, what fraction of work is left?Read the answer and worked solution →If 8 men complete a job in 12 days, then 4 men working at twice the speed will finish it in:Read the answer and worked solution →If 12 men can do a job in 8 days, in how many days will 16 men do the same job?Read the answer and worked solution →Complete the rule for workers and timeRead the answer and worked solution →True or false: workers and timeRead the answer and worked solution →Scaling the workforceRead the answer and worked solution →Rises or falls as the workforce grows?Read the answer and worked solution →Order the steps: a time and work questionRead the answer and worked solution →Assertion and reason: workers and timeRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Tap every situation that behaves like time and workRead the answer and worked solution →Reading a time and work setupRead the answer and worked solution →True or false: sharing a fixed jobRead the answer and worked solution →Which equation, and why?Read the answer and worked solution →Flip and pair: situation with proportionRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Complete the constant for a fixed jobRead the answer and worked solution →Scaling a workforce, harder casesRead the answer and worked solution →Does this change the total work, or only the time?Read the answer and worked solution →True or false: worker-daysRead 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.*

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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.

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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.

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