Numerical Ability is considered a tough and complex section of the Delhi Police Constable exam. This is where many candidates get stuck, but smart preparation focuses on high-scoring topics such as Time and Work. You can expect at least 2 to 3 direct, simple, and fundamental questions on efficiency, joint work, and wages. SSC asks these questions to check your basic mathematical logic and efficiency in calculation. Time and Work questions are direct logic checks. If you master the simple “Unitary Method” (or L.C.M. method), you easily score these marks, saving precious time for complex algebra problems. In this blog, we’ve provided exam-level Time and Work questions for the Delhi Police Constable exam in a free downloadable PDF. But before you solve these questions, we suggest you attempt some free topic tests.
Concept of Time and Work for Delhi Police Constable
Time and Work are based on the simple principle of inverse proportionality.
- More men take less time to do the same work.
- Less efficiency means more time is needed.
The best way to solve almost all Time and Work problems is using the Efficiency/L.C.M. Method:
- Find the Total Work: Calculate the Least Common Multiple (L.C.M.) of the days given. This L.C.M. represents the total amount of work (in “units”) to be done.
- Calculate Efficiency: Divide the Total Work by the number of days each person takes. The result is their efficiency (units of work done per day).
- Find Time: Divide the Total Work by the combined efficiency of the people working together.
Key Scoring Patterns You Must Master
Success in Time and Work relies on quickly applying the L.C.M. method to various scenarios. Master these core types:
| Question Type | Essential Sub-Topics / Patterns to Check |
| Individual/Joint Work | The Basic: A, B, and C can do a job in x, y, and z days. How long will they take working together? |
| Leaving/Joining Work | Breaks: A works for x days and leaves. B finishes the remaining work. (Focus on calculating remaining work). |
| Men, Women, & Children | Comparative Efficiency: 2 men = 3 women. Convert all workers into a single type (usually men). |
| Pipe and Cistern | Negative Work: Pipes filling a tank are positive work; leaks/draining pipes are negative work. (The logic is identical to Time and Work). |
| Wages/Money | Payment is for Work Done: Wages are always distributed according to the ratio of the work completed (or the ratio of their efficiency), not the time taken. |
Time and Work Questions for Delhi Police Constable PDF
The questions asked by SSC in the Numerical Ability section are typically direct, logic-based problems. They require quick LCM calculation and accurate formula application. They are the perfect type of question that can save you time for other time-consuming sections. To help you master these quick facts, we have provided a PDF that consists of the most important and frequently asked Time and Work questions for the exam. Click on the button given below to download the Time and Work Questions for Delhi Police Constable PDF for free.
Click to Download Time and Work Questions for Delhi Police Constable PDF
Question 1: Gita is thrice as efficient as Babita. It will take 24 days to Gita to complete the work alone, find the time taken by both of them to complete the work together.
A) 14 days
B) 24 days
C) 20 days
D) 18 days
Question 2: Harsh and Vinay can complete a task in (120/9) days. However, Harsh had to leave the task in between, and hence, it took 15 days in all to complete the task. If Harsh alone could complete the work in 24 days, then how many days before the work getting over did Harsh leave?
A) 2 days
B) 4 days
C) 3 days
D) 5 days
Question 3: ‘A’ is (200/3)% more efficient than ‘B’. ‘A’ takes 24 days less than ‘B’ to complete a work. Find the time taken by ‘A’ and ‘B’ together to complete the work.
A) 12.5 days
B) 18 days
C) 22.5 days
D) 20 days
Question 4: Ram can complete a work in 48 days. He works for 36 days and leaves the work. If Laxman completed the remaining work in 17 days, then find the time taken by Laxman to complete the whole work.
A) 64 days
B) 54 days
C) 42 days
D) 68 days
Question 5: Raju and Jaggu can complete a work alone in 24 days and 36 days respectively. Find the time taken by them to complete the work if Raju works at (5/3) of his efficiency and Jaggu works at (3/2) of his efficiency.
A) 8 days
B) 14.4 days
C) 12 days
D) 9 days
Question 6: Krunal takes 28 days to complete a work alone whereas Kunal takes 25% more time than Krunal to complete the work. Find the time taken by them to complete the work if they work on alternate days when Krunal works on first day.
A) 16 days
B) 31 days
C) 34 days
D) 32 days
Question 7: A contractor hires 30 workers to complete the work in 60 days. After 40 days of work, contractor finds that only 1/3rd of the work is completed. So, he hired ‘Y’ more worker to complete the work on time. Find the value of (Y + 6).
A) 126
B) 120
C) 96
D) 90
Question 8: Ashish and Akhil can complete a work alone in 36 days and 48 days respectively. Ashish and Akhil started the work but Ashish left the work after 12 days. Find the time taken by Akhil to complete the remaining work.
A) 32 days
B) 24 days
C) 18 days
D) 20 days
Question 9: 12 women can complete a work in 9 days whereas 8 men can complete the work in 6 days. Find the wages of a man out of total wages of Rs. 8,450 if the work is done by 1 woman and 1 man together.
A) Rs. 5,850
B) Rs. 2,600
C) Rs. 5,650
D) Rs. 2,800
Question 10: Aman and Naman together can complete a work in (126/13) days whereas Naman can complete the work alone in 21 days. Find the time taken by Aman to complete the work alone?
A) 15 days
B) 18 days
C) 24 days
D) 12 days
Click to Download Time and Work Questions for Delhi Police Constable PDF
Preparation Tips for Delhi Police Constable Time and Work
Time and Work is an easy score-maker if you avoid confusing formulas and stick to the simple L.C.M. method. These tips will help you maximize your problem-solving skills for this topic:
- Always Use the L.C.M. Method: Forget complex fractions! Finding the L.C.M. for Total Work and then calculating daily “units” (efficiency) makes every problem—even complex ones—incredibly simple.
- Focus on Remaining Work: In ‘leaving/joining’ questions, your first step must always be to calculate how many units of work were done and how many units are left before moving to the next worker.
- Master Conversions: For Men/Women/Children problems, always convert all workers to a single category (like Men) based on the given efficiency ratio before starting the main problem.
- Practice Pipe and Cistern: Since the logic is identical to Time and Work, practice pipe and cistern problems (treating the leak as negative efficiency) to solidify the concept.
- Solve High Volume: Time and Work require high repetition to build calculation speed. Solve a dedicated set of 10-20 questions daily using our free topic tests.
Also Read:
- Delhi Police Constable Cut Off
- Delhi Police Constable Syllabus
- Delhi Police Constable Notification 2025
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FAQs: Time and Work Questions for Delhi Police Constable
You can generally expect 2 to 3 direct, fundamental questions from Time and Work in the Numerical Ability section.
The L.C.M. or Unitary Method (where you find the total work and individual daily efficiency) is the fastest and most reliable method for almost all types of questions.
Questions involving Men, Women, and Children (where you have to compare efficiencies) or Leaving/Joining work patterns are considered the trickiest.
You can download the free PDF containing solved and practice-based Time and Work questions directly from the link provided in this blog.
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