Q1. A can finish a work in 12 days and B in 6 days. Working together, in how many days will they finish it?
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Answer: C. 4
One day's work = 1/12 + 1/6 = 1/4. Time = 4 days.
Time and Work Questions for SSC CGL (with Answers)
41 Time and Work MCQs from the Quantitative Aptitude section, with answers and short explanations.
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Q2. A can finish a work in 12 days and B in 24 days. Working together, in how many days will they finish it?
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Answer: B. 8
One day's work = 1/12 + 1/24 = 1/8. Time = 8 days.
Q3. A can complete a piece of work in 12 days and B can complete it in 36 days. In how many days can they complete it working together?
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Answer: D. 9 days
Together per day = 1/12 + 1/36 = 1/9. So they need 9 days.
Q4. A can complete a piece of work in 15 days and B can complete it in 30 days. In how many days can they complete it working together?
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Answer: D. 10 days
Together per day = 1/15 + 1/30 = 1/10. So they need 10 days.
Q5. A can complete a piece of work in 20 days and B can complete it in 30 days. In how many days can they complete it working together?
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Answer: B. 12 days
Together per day = 1/20 + 1/30 = 1/12. So they need 12 days.
Q6. A can complete a piece of work in 4 days and B can complete it in 12 days. In how many days can they complete it working together?
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Answer: A. 3 days
Together per day = 1/4 + 1/12 = 1/3. So they need 3 days.
Q7. A can complete a piece of work in 36 days and B can complete it in 45 days. In how many days can they complete it working together?
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Answer: D. 20 days
Together per day = 1/36 + 1/45 = 1/20. So they need 20 days.
Q8. A can complete a piece of work in 21 days and B can complete it in 42 days. In how many days can they complete it working together?
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Answer: A. 14 days
Together per day = 1/21 + 1/42 = 1/14. So they need 14 days.
Q9. A can complete a piece of work in 14 days and B can complete it in 35 days. In how many days can they complete it working together?
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Answer: C. 10 days
Together per day = 1/14 + 1/35 = 1/10. So they need 10 days.
Q10. A can complete a piece of work in 30 days and B can complete it in 45 days. In how many days can they complete it working together?
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Answer: C. 18 days
Together per day = 1/30 + 1/45 = 1/18. So they need 18 days.
Q11. 30 men can complete a work in 32 days. In how many days can 6 men complete the same work?
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Answer: C. 160 days
30 × 32 = 6 × D ⇒ D = 960/6 = 160 days.
Q12. 19 men can complete a work in 30 days. In how many days can 15 men complete the same work?
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Answer: C. 38 days
19 × 30 = 15 × D ⇒ D = 570/15 = 38 days.
Q13. A can complete a piece of work in 24 days and B can complete it in 48 days. In how many days can they complete it working together?
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Answer: A. 16 days
Together per day = 1/24 + 1/48 = 1/16. So they need 16 days.
Q14. 25 men can complete a work in 32 days. In how many days can 20 men complete the same work?
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Answer: C. 40 days
25 × 32 = 20 × D ⇒ D = 800/20 = 40 days.
Q15. 12 men can complete a work in 36 days. In how many days can 9 men complete the same work?
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Answer: B. 48 days
12 × 36 = 9 × D ⇒ D = 432/9 = 48 days.
Q16. 9 men can complete a work in 10 days. In how many days can 5 men complete the same work?
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Answer: D. 18 days
9 × 10 = 5 × D ⇒ D = 90/5 = 18 days.
Q17. A can complete a piece of work in 12 days and B can complete it in 60 days. In how many days can they complete it working together?
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Answer: A. 10 days
Together per day = 1/12 + 1/60 = 1/10. So they need 10 days.
Q18. 8 men can complete a work in 6 days. In how many days can 4 men complete the same work?
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Answer: D. 12 days
8 × 6 = 4 × D ⇒ D = 48/4 = 12 days.
Q19. A can finish a work in 10 days and B in 15 days. Working together, in how many days will they finish it?
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Answer: B. 6
One day's work = 1/10 + 1/15 = 1/6. Time = 6 days.
Q20. A and B together can finish a job in 8 days. A alone can finish it in 12 days. How many days will B alone take?
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Answer: C. 24 days
B's work per day = 1/8 − 1/12 = 1/24. So B alone takes 24 days.
Q21. A and B together can finish a job in 16 days. A alone can finish it in 24 days. How many days will B alone take?
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Answer: B. 48 days
B's work per day = 1/16 − 1/24 = 1/48. So B alone takes 48 days.
Q22. A and B together can finish a job in 20 days. A alone can finish it in 36 days. How many days will B alone take?
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Answer: B. 45 days
B's work per day = 1/20 − 1/36 = 1/45. So B alone takes 45 days.
Q23. A and B together can finish a job in 9 days. A alone can finish it in 12 days. How many days will B alone take?
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Answer: C. 36 days
B's work per day = 1/9 − 1/12 = 1/36. So B alone takes 36 days.
Q24. A and B together can finish a job in 12 days. A alone can finish it in 20 days. How many days will B alone take?
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Answer: C. 30 days
B's work per day = 1/12 − 1/20 = 1/30. So B alone takes 30 days.
Q25. A and B together can finish a job in 8 days. A alone can finish it in 10 days. How many days will B alone take?
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Answer: B. 40 days
B's work per day = 1/8 − 1/10 = 1/40. So B alone takes 40 days.
Q26. A and B together can finish a job in 10 days. A alone can finish it in 15 days. How many days will B alone take?
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Answer: B. 30 days
B's work per day = 1/10 − 1/15 = 1/30. So B alone takes 30 days.
Q27. 28 men can complete a work in 10 days. In how many days can 5 men complete the same work?
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Answer: C. 56 days
28 × 10 = 5 × D ⇒ D = 280/5 = 56 days.
Q28. A, B and C can do a work alone in 15, 20 and 60 days respectively. How many days will they take working together?
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Answer: B. 7.5 days
1/15 + 1/20 + 1/60 = 1/7.5. So they need 7.5 days.
Q29. A, B and C can do a work alone in 20, 30 and 60 days respectively. How many days will they take working together?
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Answer: A. 10 days
1/20 + 1/30 + 1/60 = 1/10. So they need 10 days.
Q30. 18 men can complete a work in 26 days. In how many days can 39 men complete the same work?
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Answer: D. 12 days
18 × 26 = 39 × D ⇒ D = 468/39 = 12 days.
Q31. 30 men can complete a work in 28 days. In how many days can 8 men complete the same work?
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Answer: A. 105 days
30 × 28 = 8 × D ⇒ D = 840/8 = 105 days.
Q32. A, B and C can do a work alone in 12, 24 and 24 days respectively. How many days will they take working together?
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Answer: D. 6 days
1/12 + 1/24 + 1/24 = 1/6. So they need 6 days.
Q33. A, B and C can do a work alone in 18, 24 and 72 days respectively. How many days will they take working together?
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Answer: C. 9 days
1/18 + 1/24 + 1/72 = 1/9. So they need 9 days.
Q34. 25 men can complete a work in 18 days. In how many days can 5 men complete the same work?
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Answer: B. 90 days
25 × 18 = 5 × D ⇒ D = 450/5 = 90 days.
Q35. 24 men can complete a work in 11 days. In how many days can 6 men complete the same work?
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Answer: C. 44 days
24 × 11 = 6 × D ⇒ D = 264/6 = 44 days.
Q36. A, B and C can do a work alone in 12, 15 and 20 days respectively. How many days will they take working together?
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Answer: C. 5 days
1/12 + 1/15 + 1/20 = 1/5. So they need 5 days.
Q37. A can finish a work in 6 days and B in 12 days. Working together, in how many days will they finish it?
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Answer: A. 4
One day's work = 1/6 + 1/12 = 1/4. Time = 4 days.
Q38. A, B and C can do a work alone in 6, 10 and 15 days respectively. How many days will they take working together?
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Answer: D. 3 days
1/6 + 1/10 + 1/15 = 1/3. So they need 3 days.
Q39. A, B and C can do a work alone in 10, 15 and 30 days respectively. How many days will they take working together?
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Answer: B. 5 days
1/10 + 1/15 + 1/30 = 1/5. So they need 5 days.
Q40. A, B and C can do a work alone in 10, 12 and 15 days respectively. How many days will they take working together?
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Answer: D. 4 days
1/10 + 1/12 + 1/15 = 1/4. So they need 4 days.
Q41. A, B and C can do a work alone in 6, 12 and 12 days respectively. How many days will they take working together?
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Answer: D. 3 days
1/6 + 1/12 + 1/12 = 1/3. So they need 3 days.
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