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Time and Work Questions and Answers – Page 10

Time and Work is a high-scoring and frequently asked topic in Quantitative Aptitude for competitive exams such as SSC CGL, SSC CHSL, IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, RRB NTPC, and other banking and government job examinations. This topic deals with calculating how long it takes one or more people or machines to complete a given task, based on their individual work rates or efficiencies. The basic concept is that if a person can complete a piece of work in n days, their one-day work equals 1/n, and when multiple people work together, their combined one-day work is the sum of their individual one-day work rates. A strong understanding of time and work concepts is important because this topic is closely related to Time, Speed and Distance and Pipes and Cisterns problems. This topic page offers a detailed collection of time and work questions with step-by-step solutions designed to help aspirants build both speed and accuracy. The practice questions cover important variations such as work and efficiency problems, men-days-hours calculations, alternate day work patterns, work sharing and wages problems, and pipes and cisterns questions that use the same underlying concepts. Each question includes a clear explanation along with the LCM method and efficiency-based shortcut tricks that make solving time and work problems significantly faster during the exam. Aspirants preparing for SSC, banking, and railway exams often find time and work questions difficult when multiple people or machines with different efficiencies are involved, or when work is left incomplete and needs to be completed by another group. Our practice set addresses these challenges through clear worked examples, the LCM shortcut method for assuming total work, and formula-based approaches for combined work rates. Regular practice with these questions will strengthen your overall Quantitative Aptitude preparation and help you solve work and efficiency problems more confidently. Whether you are a beginner starting your exam preparation or an experienced aspirant sharpening your speed, this time and work question bank is designed to support learners at every level. Practice consistently, apply the shortcut methods provided, and use them to solve time and work questions accurately and quickly in your upcoming SSC, banking, railway, and other competitive government examinations.

Exams Covered:

SSC CGL
SSC CHSL
SSC MTS
IBPS PO
IBPS Clerk
RRB NTPC
UPSC
State Exams
& More

Solve this Time and Work question: Vikas can finish a project in 24 days and Lokesh in 36 days. After working together for 6 days, Vikas leaves. How many additional days will Lokesh require?

Solve this Time and Work question: Isha can finish a project in 20 days and Naina in 30 days. After working together for 5 days, Isha leaves. How many additional days will Naina require?

Solve this Time and Work question: Manoj can finish a project in 16 days and Tarun in 24 days. After working together for 4 days, Manoj leaves. How many additional days will Tarun require?

Solve this Time and Work question: Geeta can finish a project in 15 days and Seema in 20 days. After working together for 4 days, Geeta leaves. How many additional days will Seema require?

Solve this Time and Work question: Farhan can finish a project in 12 days and Kabir in 18 days. After working together for 3 days, Farhan leaves. How many additional days will Kabir require?

Solve this Time and Work question: Anita and Poonam together repair a road section in 15 days. Anita alone needs 25 days. How long will Poonam take alone?

Solve this Time and Work question: Nitin and Gaurav together assemble an order in 12 days. Nitin alone needs 20 days. How long will Gaurav take alone?

Solve this Time and Work question: Riya and Suman together harvest a field in 9 days. Riya alone needs 15 days. How long will Suman take alone?

Solve this Time and Work question: Kiran and Deepak together audit a set of files in 8 days. Kiran alone needs 12 days. How long will Deepak take alone?

Solve this Time and Work question: Aman and Bharat together paint a school hall in 6 days. Aman alone needs 10 days. How long will Bharat take alone?

FAQ

Time & Work FAQs

Common questions and clear answers for this topic.

What is Time and Work and what is the basic concept?

Time and Work problems involve finding how long it takes to complete a task. Basic concept: If A can do a work in n days, A's one day work = 1/n. If A and B together can do work in n days, combined one day work = 1/n. Key formula: Total Work = Efficiency x Time. Time and Work is a major topic in SSC CGL, IBPS Bank PO, SBI PO, CAT, and Railway exams.

How to solve Time and Work problems using LCM method?

LCM Method: Assume total work = LCM of given days. Calculate each person's work per day = Total work divided by Days. Combined work per day = Sum of individual work rates. Time = Total work divided by Combined rate. Example: A can do work in 10 days, B in 15 days. LCM(10,15) = 30 units. A's daily work = 3 units, B's = 2 units. Together = 5 units/day. Time = 30/5 = 6 days. This avoids fractions and is much faster.

How to solve problems when people join or leave work midway?

When worker joins midway: Find work done before and after they join. If A works for x days and B joins for y days, Total work = A's work in x days + (A+B)'s work in y days. Example: A alone in 20 days. If A works 6 days then B joins, to find when work completes: A's 6 days work = 6/20 = 3/10. Remaining = 7/10. If A+B together rate = 1/12, days to finish = (7/10)/(1/12) = 8.4 days.

What are Pipes and Cistern problems in Time and Work?

Pipes and Cistern: Inlet pipe fills cistern (positive), Outlet pipe empties cistern (negative). If inlet fills in x hours, rate = 1/x per hour. If outlet empties in y hours, rate = 1/y per hour. Net rate = 1/x - 1/y. Time to fill = xy/(y-x) hours if y > x. Cistern fills if net rate is positive. These problems are standard in IBPS, SBI, and SSC competitive exams.

What is work equivalence and efficiency in Time and Work problems?

Work Equivalence: Men x Days = Women x Days (when efficiency ratio is known). If 1 man = 2 women in efficiency, then 10 men = 20 women. Men-Days concept: 10 men x 5 days = 50 man-days. If 8 men do same work, days = 50/8 = 6.25 days. For wages: divide total payment in ratio of work done. If A and B complete work together and A worked fewer days, calculate individual shares accordingly.

What is the verified answer to “Solve this Time and Work question: Vikas can finish a project in 24 days and Lokesh in 36 days. After working together for 6 days, Vikas leaves. How many additional days will Lokesh require?”?

21 days, option D.

Which method solves this Time and Work item?

Rebuild and verify the complete work-rate equation.

Why are the other options incorrect?

22 days, 23 days, 19 days break a clue, direction, transition or operation.

How should the answer be checked?

Replay the rule from the first clue or term and test every intermediate step.

What is the verified answer to “Solve this Time and Work question: Isha can finish a project in 20 days and Naina in 30 days. After working together for 5 days, Isha leaves. How many additional days will Naina require?”?

17.5 days, option C.

What is the verified answer to “Solve this Time and Work question: Manoj can finish a project in 16 days and Tarun in 24 days. After working together for 4 days, Manoj leaves. How many additional days will Tarun require?”?

14 days, option B.

What is the verified answer to “Solve this Time and Work question: Geeta can finish a project in 15 days and Seema in 20 days. After working together for 4 days, Geeta leaves. How many additional days will Seema require?”?

10.67 days, option A.

What is the verified answer to “Solve this Time and Work question: Farhan can finish a project in 12 days and Kabir in 18 days. After working together for 3 days, Farhan leaves. How many additional days will Kabir require?”?

10.5 days, option D.

What is the verified answer to “Solve this Time and Work question: Anita and Poonam together repair a road section in 15 days. Anita alone needs 25 days. How long will Poonam take alone?”?

37.5 days, option C.

What is the verified answer to “Solve this Time and Work question: Nitin and Gaurav together assemble an order in 12 days. Nitin alone needs 20 days. How long will Gaurav take alone?”?

30 days, option B.

What is the verified answer to “Solve this Time and Work question: Riya and Suman together harvest a field in 9 days. Riya alone needs 15 days. How long will Suman take alone?”?

22.5 days, option A.

What is the verified answer to “Solve this Time and Work question: Kiran and Deepak together audit a set of files in 8 days. Kiran alone needs 12 days. How long will Deepak take alone?”?

24 days, option D.

What is the verified answer to “Solve this Time and Work question: Aman and Bharat together paint a school hall in 6 days. Aman alone needs 10 days. How long will Bharat take alone?”?

15 days, option C.

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Top Time and Work in Quantitative Aptitude Questions – Page 10 | Exambodh