Time and Work for SSC CPO | Concepts & Practice | SSC CPO Quantitative Aptitude

Learn the shortcut

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Avoid common traps

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Solve faster in exam

Apply one practical method before attempting MCQs and cut down hesitation.

Summary Formula Tricks Mistakes Solved Example Practice FAQ

Time and Work revision for SSC CPO: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.

Time and Work converts completion time into work rate. If a person completes a job in x days, one day's work is 1/x. Combined work is found by adding rates.

SSC CPO focus: Solve the core method first, then use the approved practice questions on this page to build exam-speed accuracy.

Time and Work revision rule: concept → formula/relation → one worked example → timed practice → error review.

Core concept
Key formula/relation
Common trap
Approved practice

Rate = 1/Time
Combined rate = sum of individual rates
Combined time = 1/combined rate

For integer times, assume total work as their LCM to avoid fractions.

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Read the exact requirement before choosing a shortcut.
Keep units, signs and percentage bases consistent.
Use the final few seconds to verify direction and magnitude.

Using a memorised shortcut without checking its condition.
Skipping unit or base conversion.
Doing long arithmetic before identifying the underlying relation.

Practice example: A contractor completes four-ninths of a job in 8 days. At the same rate, how many days are needed for the whole job?

Solution: The whole job will take 18 days.

A and B can complete a job in 18 days and 24 days respectively. In how many days will they complete it together?
A worker completes three-eighths of a task in 6 days. How many days will the whole task take at the same rate?
A can complete a work in 18 days. B is 50% more efficient than A. In how many days can B complete the work?

Learn the shortcut first

Shortcut before you solve

Time and work gets easy when you stop thinking in total days and start thinking in daily work.

Faster solving steps

Use this 4-step method before solving to keep your thinking fast and repeatable.

Step 1 Identify relation

Spot the pattern, relationship, or core idea first.

Step 2 Apply same pattern

Use the same rule instead of re-solving from scratch.

Step 3 Eliminate wrong options

Remove confusing choices before comparing the last few.

Step 4 Confirm final answer

Pick the option that matches the shortcut most cleanly.

Practice Questions

Start with the first 10 questions free, then unlock the rest with premium

Now apply the trick on real questions

Use the shortcut above before solving these questions

Convert each worker into one-day work, then add or subtract work rates.

Tip: If A finishes in 10 days, A does 1/10 of the work in one day.

Step 1

Total work is taken as 1.

Step 2

A finishes 1/10 of the work each day.

Rule

Work done in 1 day = 1 / total days.

3-second trick

Convert everyone into one-day work first, then combine rates.

Trap to avoid

Do not add days directly when workers are working together.

Correct answer

1/10

Thinking path

One full work is the standard unit.
10 days means one-day work is 1/10.
This becomes the base for combined work questions.

Final answer: 1/10

Why this is fast: Daily work form makes partnership questions almost automatic.

Free now: first 10 questions Premium later: full solutions, advanced tricks, targeted practice

Q1 Medium

A can complete a work in 18 days. B is 50% more efficient than A. In how many days can B complete the work?