Practical Guide to Solving Time and Work Problems in CAT Quant
Time and Work is an important part of CAT Quant. It tests a student’s ability to link work, time, and efficiency. This article explains the key concepts, important formulas, and practical shortcuts to solve time and work questions quickly.
Time and Work in the CAT Exam is one of the important topics covered in the quant section. These topics measure the correlation between the amount of work done, the time taken to complete that amount of work done and the efficiency of an individual or group of individuals performing that work. Fundamentally, the concept is based on the important time and work formula where Work = Rate x Time. The rate is the efficiency of work or the amount of work a person can do in a given time.
Basic Concepts in CAT Time and Work
You can check the basic concepts behind time and work.
Time and Work Particulars | Details |
|---|---|
Work |
|
Work Rate / Efficiency |
|
Time |
Time = Work / Efficiency |
Combined Work |
A + B Efficiency = 1 / 10 + 1 / 15 = 1 / 6
|
Work Equivalence | Work done is directly proportional to the time taken and efficiency. Work = Time x Efficiency |
Inverse Relation between Time and Work | If the work is fixed, time and efficiency are inversely proportional Time ∝ 1 / Efficiency |
Alternate Work (Work–Rest Pattern) |
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Fraction of Work | If a person works for a certain number of days, the fraction of work completed is Fraction of work = Efficiency x Time worked |
Time and Work Formula
Check the important formulas of time and work.
Particulars | Formulas |
|---|---|
Work - Time Relation |
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If A can do a work in x days and B can do the same work in y days, then |
x + y
xy
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Three Persons Work Formula |
ABC
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If A, B, C can do a work in x, y, z days respectively, then |
Work done by A, B, C together in 1 day
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Efficiency and Work | If A is k times as efficient as B, then
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