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Time and Work Questions and Answers – Page 2

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

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.

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Top Time and Work in Quantitative Aptitude Questions – Page 2 | Exambodh