Time and Work Questions with Solutions | Set 1 (Q1 to Q10)

This set contains Time and Work Questions with Solutions — Set 1 (Q1 to Q10) covering time and work, wages and chain rule problems — from basic to advanced — exactly as asked in real competitive exams.

Solutions are written in a simple, step-by-step notebook style for easy self-study and quick understanding. Each solution is broken down step by step so even the toughest question feels easy. These questions are hand-picked for students preparing for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and all campus placement aptitude tests. International students preparing for GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests will find these equally useful.

✏️ Attempt each question on your own first — then check the solution below.

1. A can do a piece of work in 40 days, B in 30 days & (A + B + C) in 10 days. In how many days C alone can do it.

2. (A+B) can do a work is 6 days, while (B+C) can do the same work in 8 days. In (C+A) can do the same work in 12 days. In how many days A, B, C together complete the whole work also find their individiual completion time.

3. A takes 9 days to finish a job while B takes 27 days to finish the same job. Find the ratio of their efficiencies ?

4. A is thrice as efficient as B and A takes 40 days to do a job, then in how many days B can finish the same job.

5. A is thrice as efficient as B and therefore able to finish a job in 100 days less than B. Find the time in which A and B can complete the work individually & in how many days they can complete the work , working together ?

6. A can do a piece of work in 20 days. B is 25% more efficient than A. Find the number of days taken by B to do the same piece of work.

7. A can complete a work in 10 days, B in 12 days and C in 15 days. All they began the work together but A had to leave the work after 2 days of starting & B leaves 3 days before the completion of the work. How long did the work last ?

8. A can finish a work in 15 days and B can do it in 60 days. After A had worked for 5 days, B also joined A to finish the remaining work. Remaining work will be finished in how many days.

9. A can do a piece of work in 15 days. He started the work & left after some days when 20% work was done. After it B joined and completed the work in 20 days. In how many days A & B can complete the whole work.

10. A alone can complete a work in 14 days and B alone in 18 days. Starting with A they work on alternate days. The total work will be completed in how many days.

1. A can do a piece of work in 40 days, B in 30 days & (A + B + C) in 10 days. In how many days C alone can do it.
Sol:

∴ Cₑբբ = 12 – 3 + 4 = 5
∴ t꜀ to complete job alone = \(\frac{{120}}{{{C_{eff}}}}\) = \(\frac{{120}}{5}\) = 24 days     Answer

2. (A+B) can do a work is 6 days, while (B+C) can do the same work in 8 days. In (C+A) can do the same work in 12 days. In how many days A, B, C together complete the whole work also find their individiual completion time.
Sol:

∴ 2(A + B + C)ₑբբ = 24 + 18 + 12
(A + B + C)ₑբբ = 27 ⟹ time to complete work = \(\frac{{144}}{{27}}\) days      Answer

Aₑբբ = 27 – 18 = 9 ⟹ time to complete work = \(\frac{{144}}{9}\) = 16 days      Answer
Bₑբբ = 27 – 12 = 9 ⟹ time to complete work = \(\frac{{144}}{15}\) = 9.6 days    Answer
Cₑբբ = 27 – 14 = 3 ⟹ time to complete work = \(\frac{{144}}{3}\) days = 48 days    Answer

3. A takes 9 days to finish a job while B takes 27 days to finish the same job. Find the ratio of their efficiencies ?
Sol:

4. A is thrice as efficient as B and A takes 40 days to do a job, then in how many days B can finish the same job.
Sol:

5. A is thrice as efficient as B and therefore able to finish a job in 100 days less than B. Find the time in which A and B can complete the work individually & in how many days they can complete the work , working together ?
Sol:

6. A can do a piece of work in 20 days. B is 25% more efficient than A. Find the number of days taken by B to do the same piece of work.
Sol:

7. A can complete a work in 10 days, B in 12 days and C in 15 days. All they began the work together but A had to leave the work after 2 days of starting & B leaves 3 days before the completion of the work. How long did the work last ?
Sol:

∴ \({t_{B + C}} = \frac{{18}}{{5 + 4}}\) = 2 days
∴ total time = 2 + 2 + 3 = 7 days       Answer

Method(2):
Total time = \(\frac{{60 – 2 \times 6 + 5 \times 3}}{{5 + 4}}\)
= 7 days       Answer

8. A can finish a work in 15 days and B can do it in 60 days. After A had worked for 5 days, B also joined A to finish the remaining work. Remaining work will be finished in how many days.
Sol:

time required to finish Remaining work = \(\frac{{40}}{{4 + 1}}\)
= 8 days         Answer

9. A can do a piece of work in 15 days. He started the work & left after some days when 20% work was done. After it B joined and completed the work in 20 days. In how many days A & B can complete the whole work.
Sol:
∴ 80% work is done by B in 20 days
\(\frac{{20}}{{80\% }} \times 100\% \) = 25 days     Time to complete work for B

10. A alone can complete a work in 14 days and B alone in 18 days. Starting with A they work on alternate days. The total work will be completed in how many days.
Sol:

Now A wil come & do 9 work in 1 day so till now 14 + 1 = 15 days have passed
Now B will come & do remaining work (6) in \(\frac{6}{7}\) days.
∴ total number of days to complete work = 15 + \(\frac{6}{7}\)
= \(15\frac{6}{7}\) days          Answer

✅ Well done on completing Set 1!

Continue practising with Time and Work Questions 11 to 20 → Set 2 or revisit the Time and Work Concept Page to strengthen your formulas and tricks before moving ahead.

Consistent practice is the key to mastering time and work for SSC CGL, SSC CHSL, CAT, Bank PO, Bank Clerk, UPSC CSAT, Railway RRB, AMCAT, eLitmus, TCS NQT and international exams including GRE, GMAT, SAT, ACT, MAT and all Numerical Reasoning Tests. Want to understand the concept better? Read about Work on Wikipedia before attempting the next set.

This page is part of our complete series of time and work questions with solutions for competitive exams — covering every question type from basic to advanced so you can build speed, accuracy and confidence. Practising these questions regularly will also strengthen your core time and work concept before your exam day.