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Time & Work MCQs 2026

45 questions with detailed answers · 20 from past papers · 5 quiz batches available

📚 Maths Mcqs 📄 20 Past-Paper Qs ✓ Free · No Login Needed
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Read each question, think about the answer, then click Show Answer to reveal the correct option and explanation. Load 10 at a time so it stays manageable — perfect for one-topic study sessions on the bus or during a break.

Page 1 of 1 Questions 1–10 of 45
  1. Q1 Past Paper · PPSC/FPSC/NTS hard

    8 men and 4 women together can complete a piece of work in 6 days. Work done by a man in one day is twice that of a woman. After 2 days, 4 men left and 4 new women joined. In how many days will the work be completed

    1. A 7 days
    2. B 9 days
    3. C 8 days
    4. D 6 days
    💡 Explanation:

    Team rate 20w=1/6; after 2 days 1/3 done, new team rate 16w=2/15 finishes remaining 2/3 in 5 days, total 7 days.

  2. Q2 Past Paper · PPSC/FPSC/NTS hard

    2 men and 3 women can do a piece of work in 10 days, while 4 men and 3 women can do the same work in 8 days. In how many days will 10 women do it

    1. A 5 days
    2. B 6 days
    3. C 3 days
    4. D 4 days
    💡 Explanation:

    Solving gives man rate=1/80, woman rate=1/40; 10 women rate=1/4, so 4 days.

  3. Q3 Past Paper · PPSC/FPSC/NTS hard

    A, B and C can do a piece of work in 12 days, 15 days and 20 days respectively working alone. They started working together but C left 2 days before completion. In how many days was the work completed

    1. A 6 days
    2. B 7 days
    3. C 5 days
    4. D 5.5 days
    💡 Explanation:

    (x-2)/5 + 2(3/20) = 1 gives x-2=3.5, so x = 5.5 days.

  4. Q4 hard

    A and B can do a piece of work in 12 days, B and C in 15 days and C and A in 20 days. In how many days will A, B and C finish the work together

    1. A 8 days
    2. B 9 days
    3. C 10 days
    4. D 12 days
    💡 Explanation:

    Sum of pairs = 2(A+B+C) = 1/5, so A+B+C = 1/10, giving 10 days.

  5. Q5 Past Paper · PPSC/FPSC/NTS medium

    Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is

    1. A 15 days
    2. B 16 days
    3. C 18 days
    4. D 14 days
    💡 Explanation:

    Tanya's rate = 1.25/20 = 1/16, so 16 days.

  6. Q6 Past Paper · PPSC/FPSC/NTS medium

    A can do a piece of work in 24 days. If B is 60% more efficient than A, how many days would B take to do the same job

    1. A 15 days
    2. B 18 days
    3. C 20 days
    4. D 12 days
    💡 Explanation:

    B's rate = 1.6/24 = 1/15, so B takes 15 days.

  7. Q7 hard

    A does 4/5 of a work in 20 days. He then calls in B and they finish the remaining work in 3 days. How long would it take B to do the whole work alone

    1. A 30 days
    2. B 40 days
    3. C 35 days
    4. D 37.5 days
    💡 Explanation:

    A's rate = 1/25; combined does 1/5 in 3 days, so B's rate = 2/75, taking 37.5 days.

  8. Q8 easy

    45 men can do a work in 20 days. How many men would be needed to complete the same work in 15 days

    1. A 50
    2. B 55
    3. C 60
    4. D 65
    💡 Explanation:

    Total work = 900 man-days; men needed = 900/15 = 60.

  9. Q9 Past Paper · PPSC/FPSC/NTS easy

    A can do a piece of work in 12 days and B can do it in 18 days. In how many days will they finish it together

    1. A 7 1/5 days
    2. B 8 days
    3. C 6 days
    4. D 9 days
    💡 Explanation:

    Combined rate = 1/12+1/18 = 5/36, so time = 36/5 = 7.2 days.

  10. Q10 Past Paper · PPSC/FPSC/NTS easy

    A alone can complete a job in 15 days, B alone in 10 days. If they work together, in how many days will the job be completed

    1. A 5 days
    2. B 6 days
    3. C 7 days
    4. D 8 days
    💡 Explanation:

    Combined rate = 1/15+1/10 = 1/6, so time = 6 days.

  11. Q11 medium

    A can finish a work in 20 days and B in 25 days. They work together for 5 days and then A leaves. In how many days will B finish the remaining work

    1. A 12 days
    2. B 13 days
    3. C 13.75 days
    4. D 14 days
    💡 Explanation:

    Work done in 5 days = 9/20, remaining 11/20 taken by B alone = 11/20 divided by 1/25 = 13.75 days.

  12. Q12 Past Paper · PPSC/FPSC/NTS easy

    4 men can complete a work in 12 days. How many men are required to complete the work in 8 days

    1. A 4
    2. B 5
    3. C 7
    4. D 6
    💡 Explanation:

    Men x days is constant: 4x12=48, so men = 48/8 = 6.

  13. Q13 medium

    A and B together can complete a work in 8 days. A alone can do it in 12 days. In how many days can B alone complete it

    1. A 24 days
    2. B 20 days
    3. C 18 days
    4. D 16 days
    💡 Explanation:

    1/B = 1/8-1/12 = 1/24, so B alone takes 24 days.

  14. Q14 Past Paper · PPSC/FPSC/NTS easy

    6 women can complete a piece of work in 10 days. In how many days will 15 women complete the same work

    1. A 5 days
    2. B 4 days
    3. C 6 days
    4. D 3 days
    💡 Explanation:

    Total work = 60 women-days; with 15 women, time = 60/15 = 4 days.

  15. Q15 medium

    A can do a work in 9 days, B in 12 days and C in 18 days. Working together, in how many days will they complete the work

    1. A 3 days
    2. B 5 days
    3. C 4 days
    4. D 6 days
    💡 Explanation:

    Combined rate = 1/9+1/12+1/18 = 1/4, so time = 4 days.

  16. Q16 medium

    A is twice as efficient as B. If B alone can complete a work in 24 days, in how many days can A and B together complete it

    1. A 6 days
    2. B 10 days
    3. C 9 days
    4. D 8 days
    💡 Explanation:

    A rate = 1/12, B rate = 1/24, combined = 1/8, so 8 days.

  17. Q17 Past Paper · PPSC/FPSC/NTS medium

    A tank can be filled by pipe A in 6 hours and emptied by pipe B in 9 hours. If both pipes are opened together, in how many hours will the tank be filled

    1. A 18 hours
    2. B 15 hours
    3. C 12 hours
    4. D 20 hours
    💡 Explanation:

    Net rate = 1/6-1/9 = 1/18, so tank fills in 18 hours.

  18. Q18 Past Paper · PPSC/FPSC/NTS easy

    Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both pipes are opened simultaneously, how long will it take to fill the tank

    1. A 10 minutes
    2. B 12 minutes
    3. C 15 minutes
    4. D 18 minutes
    💡 Explanation:

    Combined rate = 1/20+1/30 = 1/12, so 12 minutes.

  19. Q19 medium

    A pipe can fill a tank in 10 hours. Due to a leak in the bottom, it takes 12 hours to fill the tank. In how many hours can the leak alone empty the full tank

    1. A 50 hours
    2. B 45 hours
    3. C 60 hours
    4. D 55 hours
    💡 Explanation:

    Leak rate = 1/10-1/12 = 1/60, so leak empties tank in 60 hours.

  20. Q20 Past Paper · PPSC/FPSC/NTS easy

    Ten men can complete a piece of work in 15 days. How many men are needed to complete the work in 25 days

    1. A 6
    2. B 8
    3. C 5
    4. D 7
    💡 Explanation:

    Total work = 150 man-days; men needed = 150/25 = 6.

  21. Q21 medium

    A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days will A alone finish the remaining work

    1. A 5 days
    2. B 6 days
    3. C 7 days
    4. D 8 days
    💡 Explanation:

    B's work in 10 days = 2/3, remaining 1/3 done by A at rate 1/18, taking 6 days.

  22. Q22 Past Paper · PPSC/FPSC/NTS easy

    A works twice as fast as B. If B can complete a work in 18 days independently, the number of days in which A and B can together finish the work is

    1. A 9 days
    2. B 8 days
    3. C 6 days
    4. D 12 days
    💡 Explanation:

    A rate=1/9, B rate=1/18, combined=1/6, so 6 days.

  23. Q23 hard

    P, Q and R can do a work in 20, 30 and 60 days respectively. P works with the help of Q and R on every third day. In how many days is the work completed

    1. A 12 days
    2. B 10 days
    3. C 18 days
    4. D 15 days
    💡 Explanation:

    Each 3-day cycle completes 1/5 of the work; after 4 full cycles and 2 extra days the work finishes in 15 days.

  24. Q24 Past Paper · PPSC/FPSC/NTS hard

    A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is paid to C

    1. A Rs. 375
    2. B Rs. 400
    3. C Rs. 425
    4. D Rs. 450
    💡 Explanation:

    C's rate = 1/3-7/24 = 1/24; C's work in 3 days = 1/8, so payment = 3200/8 = Rs. 400.

  25. Q25 medium

    Twenty women can do a work in 16 days. Sixteen men can complete the same work in 15 days. What is the ratio between the capacity of a man and a woman

    1. A 3:4
    2. B 4:3
    3. C 5:4
    4. D 2:1
    💡 Explanation:

    Total work: 320 women-days = 240 men-days, so man:woman = 320:240 = 4:3.

  26. Q26 Past Paper · PPSC/FPSC/NTS hard

    A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. What is C's share

    1. A Rs. 100
    2. B Rs. 90
    3. C Rs. 75
    4. D Rs. 50
    💡 Explanation:

    C's one-day rate = 1/3-7/24 = 1/24; in 3 days C does 1/8 of work, earning 600 x 1/8 = Rs. 75.

  27. Q27 medium

    A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same work

    1. A 10 days
    2. B 9 days
    3. C 8 days
    4. D 7.5 days
    💡 Explanation:

    B's rate = 1.6 x (1/12) = 2/15, so B takes 7.5 days.

  28. Q28 hard

    Two workers A and B are engaged to do a work. A working alone takes 8 hours more than the time taken by A and B together. If B worked alone, he would take 4.5 hours more than the time taken together. Find the time taken by A and B together

    1. A 6 hours
    2. B 7 hours
    3. C 5 hours
    4. D 8 hours
    💡 Explanation:

    Time together = sqrt(8 x 4.5) = sqrt(36) = 6 hours.

  29. Q29 Past Paper · PPSC/FPSC/NTS hard

    A is thrice as good a workman as B and takes 10 days less to do a piece of work than B. In how many days will they together complete the work

    1. A 4 days
    2. B 3.75 days
    3. C 3.5 days
    4. D 4.5 days
    💡 Explanation:

    B takes 15 days, A takes 5 days; combined rate = 4/15, so time = 3.75 days.

  30. Q30 hard

    10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work

    1. A 150 days
    2. B 200 days
    3. C 225 days
    4. D 250 days
    💡 Explanation:

    15 women rate = 1/6-1/10 = 1/15, so one woman rate = 1/225, taking 225 days.

  31. Q31 hard

    A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days can A alone finish the work

    1. A 40 days
    2. B 45 days
    3. C 50 days
    4. D 60 days
    💡 Explanation:

    Work done together in 20 days = 2/3, remaining 1/3 done by A in 20 days, so A alone takes 60 days.

  32. Q32 medium

    A can complete a work in 20 days. He worked at it for 5 days and then B alone finished the remaining work in 15 days. In how much time will A and B together finish the work

    1. A 10 days
    2. B 12 days
    3. C 15 days
    4. D 8 days
    💡 Explanation:

    B's rate = (3/4)/15 = 1/20, same as A; combined rate = 1/10, so 10 days.

  33. Q33 Past Paper · PPSC/FPSC/NTS medium

    39 persons can repair a road in 12 days working 5 hours a day. In how many days will 30 persons complete the work working 6 hours a day

    1. A 12 days
    2. B 13 days
    3. C 14 days
    4. D 15 days
    💡 Explanation:

    Total person-hours = 2340; with 30 persons at 6 hrs/day, days = 2340/180 = 13.

  34. Q34 medium

    A can do a work in 15 days. A worked for 3 days and then left. B finished the remaining work in 18 days. In how many days will A and B together complete the whole work

    1. A 10 days
    2. B 8 days
    3. C 9 days
    4. D 11 days
    💡 Explanation:

    B's rate = (4/5)/18 = 2/45; combined with A's 1/15 gives 1/9, so 9 days.

  35. Q35 hard

    X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of work. How long did the work last

    1. A 8 days
    2. B 12 days
    3. C 9 days
    4. D 10 days
    💡 Explanation:

    X alone does 1/5 in 4 days; remaining 4/5 at combined rate 2/15 takes 6 more days, totaling 10 days.

  36. Q36 Past Paper · PPSC/FPSC/NTS hard

    A and B can do a piece of work in 15 days and 10 days respectively. They started working together but B left 5 days before completion. In how many days was the work completed

    1. A 9 days
    2. B 10 days
    3. C 12 days
    4. D 8 days
    💡 Explanation:

    x/15+(x-5)/10=1 gives 5x=45, so x=9 days.

  37. Q37 hard

    A can do a work in 25 days and B in 20 days. They started together, but A left after some days and B finished the remaining work in 10 days. After how many days did A leave

    1. A 10 days
    2. B 12.5 days
    3. C 15 days
    4. D 8 days
    💡 Explanation:

    x/25+10/20=1 gives x/25=1/2, so x=12.5 days.

  38. Q38 medium

    45 men can complete a work in 16 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work

    1. A 8 days
    2. B 10 days
    3. C 6 days
    4. D 5 days
    💡 Explanation:

    Total work=720 man-days; 270 done in 6 days, remaining 450 man-days at 75 men = 6 days.

  39. Q39 Past Paper · PPSC/FPSC/NTS easy

    A can do a piece of work in 4 days and B can do it in 12 days. In how many days will they finish the work together

    1. A 6 days
    2. B 5 days
    3. C 4 days
    4. D 3 days
    💡 Explanation:

    Combined rate = 1/4+1/12 = 1/3, so 3 days.

  40. Q40 hard

    12 men can complete a work in 18 days. 6 men started the work and after 6 days, 6 more men joined. In how many more days will they complete the work

    1. A 12 days
    2. B 10 days
    3. C 18 days
    4. D 15 days
    💡 Explanation:

    Total work = 216 man-days; 36 done in first 6 days, remaining 180 man-days at 12 men = 15 days.

  41. Q41 hard

    A does half as much work as B in three-fourth of the time taken by B. If together they take 18 days to complete the work, how much time shall B take to do it alone

    1. A 30 days
    2. B 27 days
    3. C 24 days
    4. D 33 days
    💡 Explanation:

    A's time for full work = 1.5 times B's time; combined rate 5/(3x)=1/18 gives x=30 days.

  42. Q42 medium

    A works twice as fast as B. If both together can complete a work in 12 days, in how many days can A alone complete the work

    1. A 16 days
    2. B 18 days
    3. C 20 days
    4. D 24 days
    💡 Explanation:

    Combined rate 3r=1/12 gives r=1/36; A's rate=2r=1/18, so A alone takes 18 days.

  43. Q43 medium

    3 men or 5 women can do a work in 12 days. In how many days will 6 men and 5 women complete the work

    1. A 3 days
    2. B 6 days
    3. C 4 days
    4. D 5 days
    💡 Explanation:

    6 men rate=1/6, 5 women rate=1/12, combined=1/4, so 4 days.

  44. Q44 Past Paper · PPSC/FPSC/NTS hard

    A contractor undertook to complete a piece of work in 40 days and employed 25 men. After 20 days, he found that only 1/3 of the work was done. How many additional men should he employ to finish the work on time

    1. A 20
    2. B 15
    3. C 30
    4. D 25
    💡 Explanation:

    25 men do 1/3 work in 20 days (500 man-days for 1/3); remaining 2/3 needs 1000 man-days in 20 days, requiring 50 men, so 25 more men.

  45. Q45 hard

    A, B and C can do a work in 10, 15 and 30 days respectively. If A is assisted by B and C on every third day, in how many days will the work be completed

    1. A 8 days
    2. B 9 days
    3. C 10 days
    4. D 7 days
    💡 Explanation:

    Every 3-day cycle completes 2/5 of the work; after 6 days 4/5 is done, then 2 more single days of A complete it, total 8 days.

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