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Question 19 Time and Work

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished?

Correct answer D. 1:00 P.M.

Open question

About Time and Work MCQs

This Aptitude topic covers the classic work-rate problems. You will solve questions where two or three people work together, where one person leaves partway through, where workers have different daily hours, and where pairs such as A and B, B and C, and C and A each have a known joint time. Tank and leak problems treat a leak as negative work, and typing problems apply the same rate idea to pages and hours.

Time and work is a standard chapter in aptitude tests across Pakistan, India and Bangladesh because it rewards a simple method applied quickly. Once you treat each worker's rate as a fraction of the job per day, most questions reduce to adding and subtracting fractions. Practising this set improves accuracy and speed for NTS, GAT, SSC, banking and BCS tests, where every saved minute matters.

Key facts to remember

  • If a person completes a job in n days, they do 1/n of it each day.
  • If A takes a days and B takes b days, together they take ab/(a + b) days.
  • Work done equals rate of work multiplied by time taken.
  • In pipe and cistern problems, a leak or outlet pipe counts as negative work.
  • If pairs AB, BC and CA have known rates, A + B + C equals half their sum.

Exams that include Time and Work MCQs

Pakistan

  • NTS
  • GAT
  • FPSC
  • PPSC
  • ISSB
  • Banking job tests

India

  • SSC CGL
  • SSC CHSL
  • IBPS PO
  • IBPS Clerk
  • RRB NTPC
  • Campus placements

Bangladesh

  • BCS
  • Bank job exams
  • Government job tests

How to prepare for Time and Work MCQs

  1. Convert every worker's time into a daily rate first, then add rates for people working together.
  2. Use the LCM of given days as total work units to avoid fractions in harder questions.
  3. For pipes and leaks, give filling pipes positive rates and leaks negative rates, then combine them.
  4. When working hours differ, multiply days by hours per day to get total hours before comparing rates.

Frequently asked questions

What is the shortcut formula for two people working together?

If A finishes a job in a days and B in b days, together they finish it in ab divided by (a + b) days. For example, if A takes 12 days and B takes 6 days, together they take 72 divided by 18, which is 4 days.

How many Time and Work MCQs are on MCQs360?

MCQs360 has 73 Time and Work MCQs in its Aptitude subject. Each question shows the answer instantly, and the set is free to practise without registration. Solving them with a timer is a good way to build exam speed.

How should I prepare for Time and Work MCQs?

Learn the rate method and the LCM method, then practise mixed questions daily. Start with two-worker problems, move to three workers and people leaving midway, and finish with pipes and leaks. Check each wrong answer to see which step went wrong.

Which exams ask Time and Work MCQs?

These questions appear in NTS, GAT, ISSB and bank tests in Pakistan, SSC CGL, SSC CHSL, IBPS PO, IBPS Clerk, RRB NTPC and campus placements in India, and BCS and bank job exams in Bangladesh.

Last reviewed October 2026