Time & Work

TIME AND WORK

1. A can do a piece of work in 10 days B can do it in 15 days. In how many days both A and B can do the work?

a)6days b)5 days c)9 days d)24 days

2. A and B can do a piece of work in 15 days. B alone can do it in 20 days. In how many days can A alone do it?

a) 30 days b) 40 days c) 45 days d)60 days

3. A and B can do a piece of work in 18 days, B and C in 24 days A and C in 36 days. In what time can they do it all working together ?

a)12 days b)13 days c)16 days d)26 days

4.A and B can do a piece of work in 2 days, Band B in 15 days C and A in 20 days. A alone can do the work in ?

a) 15 2/3 days b)24 days c)30 days d) 40 days

5. A can do a piece of work in 24 days while B alone can do it in 16 days. with the help of C, they finish the work in 8 days. C alone can do the work in ?

a)32 days b)36 days c)40 days d)48 days

6. A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?

a)3 days b)5 days c)7 days d)11 days

7. A can do a piece of work in 80 days. He works at it for 10 days and then B alone finishes the work 42 days. They two together could complete the work in ?

a)24 days b)25 days c)30 days d)35 days

8. A is thrice as good as workman as B and takes 10 days less to do a piece of work than B takes. B can do the work in ?

a)12 days b)15 days c)20 days d)30 days

9. A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work ?

a) 25 days b) 26 days c)27 days d)28 days

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

a)6 ½ days b)7 days c)7 ½ days d)8 days

11. A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately, A beginning, in how many days, the work will be completed ?

a)16 ¼ days b)10 days c)10 ¼ days d) 11 days

12. A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in :

a) 12 days b) 13 days c) 13 5/7 days d)13 ¾ days

13. 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 ?

a)5 days b)6 days c)7 days d)8 days

14. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work ?

a) 11 days b)11 ½ days c)12 days d)12 ½ days

15. A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many days must assist 1 man and 1 woman to complete the job in ¼ of a day ?

a) 1 b) 4 c) 19 d) 41

16. 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 ?

a) 90 b )125 c) 145 d) 150

17. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work. If he is assisted by B and C on every third day ?

a) 10 days b) 15 days c) 20 days d)25 days

18. A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both punctures together to make it flat ?

a) 1 ½ min b) 3 ½ min c) 3 3/5 min d) 4 ¼ min

19. A takes twice as much as time as B or thrice as much as C time to finish a piece of work. Working together, they can finish the work in two days. B can do the work alone in?

a) 4days b) 6days c) 8days d) 12days

20. P, Q and R are three typists who working simultaneously can type 216 pages in 4 hrs. In one hour, R can type as many pages more than Q as Q can type more than P. During a period of 5hrs, R can type as many pages as P can during 7hrs. How many pages does each of them type per hour.

a)14,17,20 b)15,17,22 c)15,18,21 d)16,18,22

21. A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 a.m. while machine P is closed at 11 a.m and the remaining two machines complete the work. Approximately at what time will the work be finished ?

a)11:30 a. m b)12 noon c) 12:30 p. m d)1 p. m

22. A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work is?

a) 4 days b)6 days c)8 days d)18 days

23. A and B can do a job together in 7 days. A is 1 ¾ times as efficient as B. The same job can be done by A alone in ?

a) 9 1/3 days b) 11 days c)12 ¼ days d)16 1/3 days

24. 12 men complete the work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work ?

a) 2 days b)3 days c) 4 days d) 5 days

25. A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work?

a) 25 days b) 30 days c) 23 days d) 35 days

26. Manu, Manju and Maya can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete work?

a) 15 b) 10 c) 20 d) 25

27. Amit and Ananthu can do a work in 15 days and 25 days respectively. Amit started the work and left after 3 days. Ananthu took over and completed the work. In how many days was the total work completed?

a) 28 days b) 20 days c) 23 days d) 25 days

28. If A is thrice as fast as B and together can do a work in 21 days. In how many days A alone can do the work?

a) 36 b) 42 c) 28 d) 54

29. Sita and Sinu together can do a work in 50 days. With the help of Smitha, they completed the work in 6 days and earn Rs.250. What is the share of Sinu if Sita alone can do the work in 100 days?

a) Rs.15 b) Rs.18 c) Rs.20 d) Rs.25

30. A and B can do a work in 60 days; B and C can do it in 120 days; A and C can do it in 80 days. In what time A alone can do the work?

a) 100 b) 90 c) 80 d) 70

PIPES AND CISTERNS

1.Two pipes A and B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank ?

a) 10 hrs b) 15 hrs c)20 hrs d)25 hrs

2.Pipe A and B can fill a tank in10 hours and 15 hours respectively. Both together can fill it in :

a)12 hrs b)6 hrs c)5 hrs d)none

3. A tap can fill a cistern in 8 hours and another can empty it in 16 hours. If both the taps are opened simultaneously, the time to fill the tank is :

a)8 hrs b)10 hrs c)16 hrs d)24 hrs

4. One tap can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened ?

a)5 hrs b)6 hrs c)7 hrs d)8 hrs

5. A cistern is normally filled in 8 hours but takes two hours longer to fill because of leak in its bottom. If the cistern is full, the leak take to empty it ?

a)16 hrs b)20 hrs c)25 hrs d)40 hrs

6. A pipe can fill a tank in 15 hours. Due to leak in the bottom, it is filled in 20 hours. If the tank is full, how much time will the leak take to empty it ?

a)20 hrs b)40 hrs c)60 hrs d)none

7. A pipe can fill a tank in x hours and another can empty it in y hours. They can together fill it in (y>x) ?

a)(x-y) hrs b)(y-x) hrs c)xy /(x-y) hrs d)xy/(y-x) hrs

8. Two taps can separately fill a cistern in 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern

a)7 min b)9 min c)13 min d)23 min

9. A tank can be filled by one tap in 20 min and by another in 25 min. Both the taps are open for 5 min and then second is turned off. In how many minutes more is the tank completely filled ?

a)17 min b)12 min c)11 min d)6 min

10. Three pipes A,B and C can fill a cistern in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill it in7 hours. The time taken by C alone to fill the cistern is :

a)10 hrs b)12 hrs c)14 hrs d)16 hrs

chain rule

1.If 35 men can do a piece of work in 48 days in how many days will 56 men do it ?

a)20 days b)25 days c)30 days d)none

2.If 16 men can do a work in 70 days, how many men can do it in28 days ?

a)40 b) 45 c) 50 d)none

3.16 men can reap a field in 30 days. In how many days will 20 men reap the field?

a)25 days b)24 days c)10 2/3 days d) 37 ½ days

4. If 15 men working 6 hours a day can reap a field in 20 days, in how many days will 15 men reap the field, working 8 hours a day ?

a)5 days b)6 days c)7 ½ days d)9 days

5. If 20 men working 7 hours a day can do a piece of work in 10 days, in how many days will 15 men working for 8 hours a day do the same work ?

a)15 5/21 days b)11 2/3 days c)6 9/7 days d)4 1/5 days

6. 8 children and 12 men complete a piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?

a)8 b)15 c)12 d)none

7. A certain number of men complete a piece of work in 60 days. If there were 8 men more , the work could be finished in 10 days less. How many men were originally there ?

a)30 b)40 c)32 d)36

8. 120 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for :

a) 150 days b)146 ¼ days c)245 days d)260 days

9. A garrison of 500 men had provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for

a)18 days b)17 ½ days c)16 days d)15 days

10. A hostel had provisions for 20 days. After 5 days , 600 students left the hostel. The provisions will last for 24 days now . Find the original strength at the beginning?

a)1400 b)1500 c)1600 d)none