COMPACT QUESTIONS (TIME & WORK)

1) A & B can complete a work in 10 and 12 days respectively. A and B start working together and after 3 days, A left the work, find in how many days work will be completed ?                 42/5

2) A and B started working together but after someday A left the work and the whole work will complete in 9 days. Find after how many days A left. If A and B complete the work in 10 and 15 days respectively.                          4days

3) Two men can build a wall in 15 and 20 hours respectively. but if they work together they use 280 less breaks per hour and build a wall in 12 hours. Find the number of bricks in the wall.   8400

4) Two men can build a wall in the 9 hours and 10 hours respectively. But if they work together than they use 10 less bricks per hours and build a wall in 5 hours.  Find the number of bricks in the wall.                 900

5) 2 candle of same height can burn completely in 4 hours and 6 hours respectively. If both start burning at same time at their respective constant speed, then find after how much time ratio of their height become 2:3.    2 hr 24 mins 

6) Three men A, B, C completes the work 10, 12, 15 days. If A, B and C starts work together. After 2 days A left the work and next after 2 days C also left. Then find in how many ways days the whole work will complete ?                          32/5 days.

7) Three men A, B, C completes the work 10, 12, 15 days. A, B, C starts work together, A and B left the work 2 days before the completion of the work, then the whole work will finish in how many days.    82/15

8) Three men A, B, C completes the work 10, 12, 15 days, If A left the work 2 days before the completion of the work and B left the works 3 days before the completion. Work will finish in how many days ?                 29/5days

9) A, B, C starts work together but A left the work after 2 days and B left the work one day before the completion of the work. In how much time the whole work will be completed ?                53/9 days

10) A, B and C start work together but after 3 days A left the work, and C left the work 4 days before the completion of work. In how much time the whole work be completed ?                         58/9 days

11) A+ B, B+ C, C+ A can complete a work in 10, 12, 20 days respectively. In how much they alone do the work.   39, 15, 60 days

12)  A+ B, B+ C, C+ A can do a work in 20 days, 30 days and 40 days respectively. In how much day time they alone do the work.      240, 48, 240/7 days

13) A+ B, B+ C do a work in 12 and 16 days. If A work for 5 days and B work for 7 days and C complete the remaining works in 13 days. Then find C would complete the work in how many days.   24

14) A + B can do a work into 12 days while B + C in 20/3 day. Work is completed by A, B, C by working 3, 4 and 7 days. Find in how many days A alone would complete the whole work.   30

15) three men A, B, C complete a work in such a way that A works for all the day, B works for 1st and 2nd day and C works for 3rd, 4th and 5th day. If  B+C can do as much work in 2 days as A alone does in 3 days. In how many days A, B, C alone do the work if B+ C can complete the whole work without the help of A in 6 days.                9,18,9 days

16) A man has 3 sons. 1st one and 2nd one can complete a work in 24 days and 36 days respectively. In how many days the 3rd son will complete the work, if the man could alone complete the whole work in 36/11 days. The man can do double the work in same time. In what time all his sons together can complete the work.                   12

17) 1 man+ 3 women+ 4 children does a work in 96 hours while 2men+ 8children can complete the same work in 80 hours. and 2men+ 3women can  completes the same work in 120 hours. Find in how much time will 10men+ 5women complete the work.     36hrs

18) A, B, C can complete a work in 30 days by working together. A + C are twice efficient than B and A + B are thrice efficient than C . Find in how many days A alone complete the work.    72

19) A + B can complete a work in half the time of C, while B + C can complete the same work in 1/3rd time thsn A. If they together complete the work in 20 days. In how many days they alone do the work.             80,48,60 days

20) A + B can complete a work in 40% lesser time than C while B + C can complete the same work in 60% lesser time than A, if they together can complete the whole work in 20 days, then in how many days will they alone complete the same work.     70days

21) A takes as much time as B+C takes to finish a job, A + B finish the job in 10 days, C can alone do the same job in 15 days. In how many days B alone can do the work.                60days

22) A complete half as much work as B in equal time,m. C complete half as much work as A and B together in equal time. If C alone can complete the work in 40 days. Then in how many days they all together complete the work.    120/9

23) In a factory there are three shifts of work for a day. During the three shifts the average working efficiency of workers is 80%, 70% and 50% respectively. A work is complete in 60 days by the group working in the first shift. If the work is done in all the shift then how many days are less required to complete the work.                     36 days

24) Two workers A and B working together can complete a job in 5 days. If  A work twice as efficiency as he actually did and B work 1/3ed efficiently as he actually did, then the work would have been completed in 3 days. A alone can complete the work in how many days.   25/4 days

25)  A + B can complete a work in 8 days but if A work twice and B 3rd of their respective efficiency, then the work is completed in 6 days. In how many days A alone can complete the work ?   40/3

26) A started a work and left working after 4 days. B finished the remaining work in next 18 days. Had A left the work after working for 6 days then B would have finished the remaining work in next 12 days. Then find in how many days A and B alone can complete the work?   10, 30 days.

27) P, Q, R are 3 typist working simultaneously can type 216 pages in 4 hours. In one hour R can type as many pages more than Q as Q can type more than P . R can type as many pages in 5 hours 7 hours how many pages in 5 hours as P in 7 hours. How many pages does each of them type per hour.       15, 18, 21

28) Three typist working together 8 hours per day can type 900 pages in 20 days. The number of pages typed by A in 4 hours equals to the numbers of pages typed by C in 1 hour. How many page typed by C in 1 hour if in a day B types as many pages more than A  as C types as many pages more than B.         3page/hr

29) A + B can complete a work in 30 days. They start work together and after 23 days B left the work and whole work complete in 33 days. Find the time in which A alone can complete the work.   300/7, 100 days

30)  A + B can complete a work in 24 days. In how many days A alone does the 2/3rd of the total work. If they start working together after 20 days A left the work, work is completed in 26 days.    48 days

31)  A + B can complete a work in 12 days. A alone works for 8 days and B completes the remaining work in 20 days by doing alone. In how much time B alone does the complete work.    18,36

32) P and R complete a work in 10 days doing together if P works for 2.5 days and R for 8.5 days, they finish half work in how much time P alone complete the work.                       120/7 days

33) A alone would take 27 hours more to complete a work than A and B work together. B tames 3 hours more to complete a work alone then A and B work together. In how many days A alone can do it.                       36, 12 hrs

34) A and B alone complete a work in 12 days and 3 days more days respectively than A + B, then find in how many days A alone does the work.             18, 9 hrs

35) A can complete a work in 5 more days than B while A does the same work in 9 more days then C. If A + B can complete the whole work in same time in which C alone does the whole work. In how many days A alone could complete the same work.         15, 10, 6 day

36) three men A, B and C  working together can do a job 6 hours less time than A alone did, 1 hour less time than B alone and half the time needed by C . In how many days will A finish the work alone ?              20/3 days

37) 3 men and 4 Women can complete a work in 16 days while 4 men and 3 women can complete the same work into 12 days. Then find 7 men and 7 women can complete the same work in how many days ?            48/7 days

37) A, B and C can complete a work in 10, 12 and 15 days respectively. If they start work together till the whole work complete. Find the share of wages of A, B, C out of the total wages of ₹750.   300,250,200

38)  B + C complete a work in 50% more time then A + B + C. If they work together on a job till the whole work completes then B earns 120 out of total earnings of ₹450. Then find in how many days they together complete the whole work while A + B takes 8/3 more number of days to complete the work than A + B + C.    4

39) A and B complete a work in 12 and 15 days. They started the work alternatively for 1 day each and A started the work first . In how much time 60% of work will be completed .         8

40) 3 men A, B, C can make 12000 pens in 2 hours, 4 hours, 3 hours respectively. If they work half hour every time, But they do not work together and A starts the work first. Find in how much time they can make 18500 pens.     4hr 15m

41) A and B complete a work in 24 and 30 days respectively, working 10 hrs per day the work is to be done in two shifts . Morning shift is for 6 hours and evening is for 4 hours. On the first day A work in morning and B works in evening and they interchange their shifts everyday, find in how much time and on which day the work will be finished.              27th day

42) A, B, C have to supply an order of 100 pens. A, B, C make a pen in 2, 3, 4 hours respectively. In how many days they will complete the work if each one make a complete pen himself without the help of others .            93 hrs

43) A, B, C finished a work in 10 days. Initially they started work together but C works only for 3 days, and in these 3 days 37% of the work had been completed and rest of the work is done by A and B. Find in how many days they individually complete the work if A's 5 days work= B's 4 days work.      25,20,30

44) 40 men can complete a work in 30 days. They start work together and after every 10 days 5 men left the work. In how much time work will be completed ?      36 days

45) 60 men can complete a work in 40 days. They start work together but after every 10 days , 5 men leave the work. In how much time the work will be completed ?                      95/2 days

46) 33 men can do a job in 30 days. If 44 minutes started the work together and after every day 1 person leave the work then what is the minimum number of days required to complete the whole work ?                    44 days

47) A group of men decided to do a job in 4 days but 20 men dropped out everyday, the job was completed at the end of 7th day. Find the men who are in the work initially ?                    .    140

48) three cooks have to make 80 burgers. They are known to make 20 pieces every minute by working together. The first cook began working alone and made 20 pieces having worked for sometimes more than 3 minutes and rest work completed by second and third cook and it takes a total of 8 Minutes to complete the whole work. In how much time the first will make 160 burgers .   32

49) A + B can complete a work in 6 days, In how many days they alone do the same work if A + C can complete the same work in 5/2 days lesser than B + C . They together complete the work in 5 days.                              30,15,10 days

50) Four men can do a piece of work in 6 days while three women can complete the same work in 16 days. In how many days 1 man + 2 woman can complete the work.               12 days

51) 2 men can complete a work in 3 days, while three women can complete the same work in 4 days and four childrens can complete the same work in 6 days. In how many days one man+ two children can complete the same work.   4 days

52) 6 men+ 8 women complete a work in 10 days while 26men+ 48 women in 2 days. In how many days 1 men+ 3 women will complete the work ?  200/17

53) 12 men +18 women can complete a work in 10 days while 3 men + 18 women can complete the same work into 12 days. In how many days two men+ three women will complete the work ?                            60 days

54) 2 men can complete a piece of work in 3 days while three women can complete the same work in 4 days and four children can complete the same work in 6 days. Then find in how many days one man +one women +two children can complete the same work.   3

55) There is sufficient food for 400 soldiers for 31 days. After 28 days 280 soldiers left the camp. For how many days will the rest of the food lasts for the rest of the soldiers.          10 days

56) There is sufficient food for 16000 soldiers for 50 days and each person eats 900 gram food everyday. After 40 days, 400 soldiers left the camp. Now for how many days will the rest of the food lasted for the rest of the soldiers if each soldiers are 1000gms food everyday.  12

57) There are sufficient food for certain number of soldiers for certain number of days. After 20 days 1/4 th soldiers left the camp and the rest of the food will last for the same number of days that are in starting . Find the number of days in the starting.                  80 days

58) A complete 7/10 of a work in 15 days, then he completes the remaining work with the help of B in 4 days. Find in how much time A + B can complete the whole works.                 40/3 days

59) A team of 30 mwn us supposed to do a work in 38 days. After 25 days, 5 more man were employed on work due to which the work is completed one day earlier. How many days would it have been delay if 5 more man were not employed.                  1 day would delay

60) A contractor undertook to finish a road in 40 days and he employ 100 men. After 35 days he employed 100 more men, the work finished on time. Then find if more man were not employed then work will complete. how much late ?            5 days late

61)  prepare 10 toys in 6 days working 6 hours for day in how many days can 12 men paper 16 toys working 8 hours per day a contractor 12 km long and 350 days and employed 45 men after 200 days only 4.5 km work is completed how many more Men should be employed to complete the whole world content 8 men working 9 hours birthday complete a work in 20 days and how many days can 7 men working 10 hours a day complete the same work contractor employee 200 men for a work they finish 56 at the total work and 10 days due to rain the work has stopped and 25th of the work and destroyed after an only 150 men come on work and how many will take the full work will be complete 38 Mangan complete work by 6 hours birthday in 12 days then calculate and how many days 51 men can do a double of the work by working 8 hours birthday in the two man of the first group doing same work of the two men and the second mention women can a rape 500 12360 land in 15 days by walking 6 hours per day if now two more man and four women are employees then work will be finished in an how many days by working 7 hours per day it is also given that work up to me man three women work contractor under 2 to finish the work in 150 days and he employees 20 May 30 May 75 children after 60 days only 14 work is complete now he have removed all the one and 52 and employed some more man so that the work will finish in 5 days earlier find extra man if three men five women and two women three char does half as much work as been 34th time as it together they took 18 days to complete the work then how much time shall be take to do it a can complete 34th work of been 56 time then be the whole over complete intended days by working together than a alone complete the work in how many days