The topic of Time and Work is an essential part of quantitative aptitude for various competitive exams like SSC, Banking, Railways, and more. In this Time and Work Practice Questions Set 02, we have included 10 high-quality questions with multiple-choice answers and step-by-step explanations. These questions will help you strengthen your understanding of work rate, efficiency, combined work, and related problem-solving techniques.
Q1. A can complete a work in 10 days and B can complete the same work in 15 days. In how many days will they complete the work together?
A) 5 days
B) 6 days
C) 7 days
D) 8 days
Correct Option is: B) 6 days
Explanation:
Work done by A in 1 day = 1/10
Work done by B in 1 day = 1/15
Together in 1 day
= 1/10 + 1/15
= (3 + 2) / 30
= 5/30
= 1/6
Hence, they will complete the work together in 6 days.
Q2. A can finish a work in 12 days, while B can do it in 16 days. They work together for 4 days and then A leaves. How many days will B take to finish the remaining work?
A) 4 days
B) 5.26 days
C) 6.66 days
D) 7 days
Correct Option is: C) 6.66 days
Explanation:
Work done by A in 1 day = 1/12, by B = 1/16
Together in 1 day
= 1/12 + 1/16
= (4 + 3)/48
= 7/48
In 4 days they complete
= 4 × 7/48
= 28/48
= 7/12
Remaining work = 1 – 7/12 = 5/12
B alone in 1 day = 1/16,
so time = (5/12) ÷ (1/16)
= (5/12) × 16 = 20/3 days = 6.66 days
Q3. A can do a job in 15 days, B can do it in 20 days, and C in 30 days. If they all work together, in how many days will they finish it?
A) 6.66 days
B) 7.26 days
C) 8.66 days
D) 9 days
Correct Option is: A) 6.66 days
Explanation:
Work done in 1 day together = 1/15 + 1/20 + 1/30
= (4 + 3 + 2) / 60
= 9/60
= 3/20
Time = 1 ÷ (3/20) = 20/3 ≈ 6.66 days.
Q4. If A is twice as good a workman as B, and together they can finish a job in 18 days, in how many days will A alone do it?
A) 27 days
B) 24 days
C) 20 days
D) 15 days
Correct Option is: A) 27 days
Explanation:
Let B’s 1 day work = x, then A’s 1 day work = 2x
Together: 2x + x = 3x = 1/18
or, x = 1/54
So A’s 1 day work = 2 × (1/54) = 1/27
Time for A alone = 27 days.
Q5. A can finish a piece of work in 8 days. B is 60% as efficient as A. How long will B take to finish the work?
A) 10.23 days
B) 12 days
C) 13.33 days
D) 15 days
Correct Option is: C) 13.33 days
Explanation:
A’s efficiency = 1/8 work per day
B’s efficiency = 60% of (1/8)
= (60/100) × 1/8
= 3/40 per day
Time = 1 ÷ (3/40) = 40/3 ≈ 13.33 days
Q6. A and B together can do a work in 10 days. B and C can do it in 15 days, A and C can do it in 12 days. In how many days will A, B, and C together do the work?
A) 8 days
B) 6 days
C) 5 days
D) 4 days
Correct Option is: A) 8 days
Explanation:
A+B = 1/10, B+C = 1/15, A+C = 1/12
Add: (A+B) + (B+C) + (A+C) = 1/10 + 1/15 + 1/12
2(A+B+C) = (6 + 4 + 5)/60 = 15/60 = 1/4
So A+B+C = 1/8, meaning they take 8 days.
Q7. A can do a piece of work in 10 days. B can do it in 15 days. They work together for 2 days, then A leaves. How long will B take to finish the rest?
A) 6 days
B) 7 days
C) 8 days
D) 10 days
Correct Option is: D) 10 days
Explanation:
Work in 1 day together = 1/10 + 1/15 = 1/6
In 2 days = 2 × 1/6 = 1/3 done
Remaining =1- 1/3=2/3
B alone = 1/15, so time = (2/3) ÷ (1/15) = (2/3) × 15 = 10 days
Q8. A is 50% more efficient than B. Together they finish a work in 12 days. How long would B take to finish it alone?
A) 24 days
B) 30 days
C) 36 days
D) 40 days
Correct Option is: B) 30 days
Explanation:
Let B’s 1 day work = x, A’s 1 day work = 1.5x
Together: 1.5x + x = 2.5x = 1/12
→ x = 1/30
So B alone takes 30 days
Q9. 4 men can finish a work in 8 days. How many men are needed to finish it in 4 days?
A) 4
B) 6
C) 8
D) 10
Correct Option is: C) 8
Explanation:
Men-days needed = 4 × 8 = 32
For 4 days: 32 ÷ 4 = 8 men.
Q10. A can do a work in 18 days, B can do it in 12 days. If A works for 6 days and leaves, how long will B take to finish the rest?
A) 4 days
B) 8 days
C) 6 days
D) 7 days
Correct Option is: B) 8 days
Explanation:
A in 1 day = 1/18, in 6 days = 6/18 = 1/3 work done
Remaining = 1-1/3=2/3
B in 1 day = 1/12,
so time = (2/3) ÷ (1/12) = (2/3) × 12
= 8 days
These Time and Work practice questions are perfect for sharpening your problem-solving skills. Go through each solution carefully to understand the logic behind it.
👉 Previous Practice Set: [Time and Work Practice Questions Set 01]
👉 Next Practice Set: [Time and Work Practice Questions Set 03] (Coming Soon)
