Time & Work MCQs 2026

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

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Page 1 of 1Questions 1–10 of 45

Q1Past Paper · PPSC/FPSC/NTSeasy
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. A9 days
2. B8 days
3. C6 days
4. D12 days
💡 Explanation:
A rate=1/9, B rate=1/18, combined=1/6, so 6 days.
Q2Past Paper · PPSC/FPSC/NTShard
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. A7 days
2. B9 days
3. C8 days
4. D6 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.
Q3medium
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. A6 days
2. B10 days
3. C9 days
4. D8 days
💡 Explanation:
A rate = 1/12, B rate = 1/24, combined = 1/8, so 8 days.
Q4Past Paper · PPSC/FPSC/NTSmedium
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. A18 hours
2. B15 hours
3. C12 hours
4. D20 hours
💡 Explanation:
Net rate = 1/6-1/9 = 1/18, so tank fills in 18 hours.
Q5Past Paper · PPSC/FPSC/NTSeasy
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. A10 minutes
2. B12 minutes
3. C15 minutes
4. D18 minutes
💡 Explanation:
Combined rate = 1/20+1/30 = 1/12, so 12 minutes.
Q6medium
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. A50 hours
2. B45 hours
3. C60 hours
4. D55 hours
💡 Explanation:
Leak rate = 1/10-1/12 = 1/60, so leak empties tank in 60 hours.
Q7Past Paper · PPSC/FPSC/NTSeasy
Ten men can complete a piece of work in 15 days. How many men are needed to complete the work in 25 days
1. A6
2. B8
3. C5
4. D7
💡 Explanation:
Total work = 150 man-days; men needed = 150/25 = 6.
Q8medium
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. A5 days
2. B6 days
3. C7 days
4. D8 days
💡 Explanation:
B's work in 10 days = 2/3, remaining 1/3 done by A at rate 1/18, taking 6 days.
Q9Past Paper · PPSC/FPSC/NTShard
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. ARs. 375
2. BRs. 400
3. CRs. 425
4. DRs. 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.
Q10easy
45 men can do a work in 20 days. How many men would be needed to complete the same work in 15 days
1. A50
2. B55
3. C60
4. D65
💡 Explanation:
Total work = 900 man-days; men needed = 900/15 = 60.
Q11hard
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. A30 days
2. B40 days
3. C35 days
4. D37.5 days
💡 Explanation:
A's rate = 1/25; combined does 1/5 in 3 days, so B's rate = 2/75, taking 37.5 days.
Q12Past Paper · PPSC/FPSC/NTSmedium
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. A15 days
2. B18 days
3. C20 days
4. D12 days
💡 Explanation:
B's rate = 1.6/24 = 1/15, so B takes 15 days.
Q13Past Paper · PPSC/FPSC/NTSmedium
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. A15 days
2. B16 days
3. C18 days
4. D14 days
💡 Explanation:
Tanya's rate = 1.25/20 = 1/16, so 16 days.
Q14hard
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. A8 days
2. B9 days
3. C10 days
4. D12 days
💡 Explanation:
Sum of pairs = 2(A+B+C) = 1/5, so A+B+C = 1/10, giving 10 days.
Q15Past Paper · PPSC/FPSC/NTShard
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. A6 days
2. B7 days
3. C5 days
4. D5.5 days
💡 Explanation:
(x-2)/5 + 2(3/20) = 1 gives x-2=3.5, so x = 5.5 days.
Q16Past Paper · PPSC/FPSC/NTShard
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. A5 days
2. B6 days
3. C3 days
4. D4 days
💡 Explanation:
Solving gives man rate=1/80, woman rate=1/40; 10 women rate=1/4, so 4 days.
Q17Past Paper · PPSC/FPSC/NTSeasy
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. A7 1/5 days
2. B8 days
3. C6 days
4. D9 days
💡 Explanation:
Combined rate = 1/12+1/18 = 5/36, so time = 36/5 = 7.2 days.
Q18Past Paper · PPSC/FPSC/NTSeasy
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. A5 days
2. B6 days
3. C7 days
4. D8 days
💡 Explanation:
Combined rate = 1/15+1/10 = 1/6, so time = 6 days.
Q19medium
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. A12 days
2. B13 days
3. C13.75 days
4. D14 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.
Q20Past Paper · PPSC/FPSC/NTSeasy
4 men can complete a work in 12 days. How many men are required to complete the work in 8 days
1. A4
2. B5
3. C7
4. D6
💡 Explanation:
Men x days is constant: 4x12=48, so men = 48/8 = 6.
Q21medium
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. A24 days
2. B20 days
3. C18 days
4. D16 days
💡 Explanation:
1/B = 1/8-1/12 = 1/24, so B alone takes 24 days.
Q22Past Paper · PPSC/FPSC/NTSeasy
6 women can complete a piece of work in 10 days. In how many days will 15 women complete the same work
1. A5 days
2. B4 days
3. C6 days
4. D3 days
💡 Explanation:
Total work = 60 women-days; with 15 women, time = 60/15 = 4 days.
Q23medium
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. A3 days
2. B5 days
3. C4 days
4. D6 days
💡 Explanation:
Combined rate = 1/9+1/12+1/18 = 1/4, so time = 4 days.
Q24hard
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. A12 days
2. B10 days
3. C18 days
4. D15 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.
Q25hard
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. A40 days
2. B45 days
3. C50 days
4. D60 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.
Q26hard
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. A150 days
2. B200 days
3. C225 days
4. D250 days
💡 Explanation:
15 women rate = 1/6-1/10 = 1/15, so one woman rate = 1/225, taking 225 days.
Q27medium
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. A10 days
2. B9 days
3. C8 days
4. D7.5 days
💡 Explanation:
B's rate = 1.6 x (1/12) = 2/15, so B takes 7.5 days.
Q28Past Paper · PPSC/FPSC/NTShard
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. ARs. 100
2. BRs. 90
3. CRs. 75
4. DRs. 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.
Q29medium
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. A3:4
2. B4:3
3. C5:4
4. D2:1
💡 Explanation:
Total work: 320 women-days = 240 men-days, so man:woman = 320:240 = 4:3.
Q30hard
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. A8 days
2. B9 days
3. C10 days
4. D7 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.
Q31Past Paper · PPSC/FPSC/NTSeasy
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. A6 days
2. B5 days
3. C4 days
4. D3 days
💡 Explanation:
Combined rate = 1/4+1/12 = 1/3, so 3 days.
Q32Past Paper · PPSC/FPSC/NTShard
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. A4 days
2. B3.75 days
3. C3.5 days
4. D4.5 days
💡 Explanation:
B takes 15 days, A takes 5 days; combined rate = 4/15, so time = 3.75 days.
Q33medium
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. A8 days
2. B10 days
3. C6 days
4. D5 days
💡 Explanation:
Total work=720 man-days; 270 done in 6 days, remaining 450 man-days at 75 men = 6 days.
Q34hard
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. A10 days
2. B12.5 days
3. C15 days
4. D8 days
💡 Explanation:
x/25+10/20=1 gives x/25=1/2, so x=12.5 days.
Q35Past Paper · PPSC/FPSC/NTShard
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. A9 days
2. B10 days
3. C12 days
4. D8 days
💡 Explanation:
x/15+(x-5)/10=1 gives 5x=45, so x=9 days.
Q36Past Paper · PPSC/FPSC/NTShard
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. A20
2. B15
3. C30
4. D25
💡 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.
Q37medium
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. A3 days
2. B6 days
3. C4 days
4. D5 days
💡 Explanation:
6 men rate=1/6, 5 women rate=1/12, combined=1/4, so 4 days.
Q38medium
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. A16 days
2. B18 days
3. C20 days
4. D24 days
💡 Explanation:
Combined rate 3r=1/12 gives r=1/36; A's rate=2r=1/18, so A alone takes 18 days.
Q39hard
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. A30 days
2. B27 days
3. C24 days
4. D33 days
💡 Explanation:
A's time for full work = 1.5 times B's time; combined rate 5/(3x)=1/18 gives x=30 days.
Q40hard
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. A12 days
2. B10 days
3. C18 days
4. D15 days
💡 Explanation:
Total work = 216 man-days; 36 done in first 6 days, remaining 180 man-days at 12 men = 15 days.
Q41hard
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. A6 hours
2. B7 hours
3. C5 hours
4. D8 hours
💡 Explanation:
Time together = sqrt(8 x 4.5) = sqrt(36) = 6 hours.
Q42hard
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. A8 days
2. B12 days
3. C9 days
4. D10 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.
Q43medium
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. A10 days
2. B8 days
3. C9 days
4. D11 days
💡 Explanation:
B's rate = (4/5)/18 = 2/45; combined with A's 1/15 gives 1/9, so 9 days.
Q44Past Paper · PPSC/FPSC/NTSmedium
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. A12 days
2. B13 days
3. C14 days
4. D15 days
💡 Explanation:
Total person-hours = 2340; with 30 persons at 6 hrs/day, days = 2340/180 = 13.
Q45medium
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. A10 days
2. B12 days
3. C15 days
4. D8 days
💡 Explanation:
B's rate = (3/4)/15 = 1/20, same as A; combined rate = 1/10, so 10 days.

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Time & Work MCQs 2026

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