Time and Work Questions pdf and Solved Aptitude Problems

Time and Work Question Type and Shortcut Trick 

♦ If A can do a piece of work in n days and B can do the same piece of work in m Days, Then collectively A and B can accomplish the task in  mn / (m+n) Days. 

♦ If A, B and C can complete a piece of work in X, Y and Z days, respectively. Then working together they can complete the task in  (xyz) / ( XY + YZ + ZX )

♦  A and B working together can complete the task in X Days. If A working alone can complete the task in Y Day's, Then B working Alone can complete the task in XY / ( Y - X ).

♦  If A can complete a work in X days and B is k times efficient than A, then the time taken by both A         and B working together to complete the work is  x / ( 1 + k ) 

♦  If A and B working together can complete a work in X days and B is k times efficient than A. then the time taken by A and B

A, working alone, to complete the work is (k + 1) X.
B, working alone, to complete the work is [ (k + 1) / k ] * X

Time and Work Aptitude Problem Question

1. 
   

2.  

   
   

   A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

1. A. 1/4     
2. B. 1/10      
3. C. 7/15      
4. D. 8/15        Correct Answer

3.  

   
   

   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?

1. A. 12 days     
2. B. 15 days        Correct Answer
3. C. 16 days      
4. D. 18 days      

4.  

   
   

   Reema can complete a piece of work in 12 days while Seema can the same work in 18 days. If they both work together, then how many days will be required to finish the work?

1. A. 6 days     
2. B. 7.2 days        Correct Answer
3. C. 9.5 days      
4. D. 12 days      

5.  

   
   

   If 'A' completes a piece of work in 3 days, which 'B' completes it in 5 days and 'C' takes 10 days to complete the same work. How long will they take to complete the work , if they work together?

1. A. 1.5 days       Correct Answer
2. B. 4.5 days      
3. C. 7 days      
4. D. 9.8 days      

6.  

   
   

   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 to be paid to C?

1. A. Rs. 375     
2. B. Rs. 400        Correct Answer
3. C. Rs. 600      
4. D. Rs. 800      

7.  

   
   

   Pooja is twice as efficient as Aarti and takes 90 days less than Aarti to complete the job. Find the time in which they can finish the job together.

1. A. 30 days     
2. B. 45 days      
3. C. 60 days        Correct Answer
4. D. 90 days      

8.  

   
   

   A & B can make paintings in 6 days, B & C can can make those paintings in 10 days. If A, B & C together can finish the work in 4 days, then A & C together will do it in ________ days.

1. A. 4 (2/7) days       Correct Answer
2. B. 1/ 8 days      
3. C. 2 (2/5) days      
4. D. 6 (3/ 8) days      

9.  

   
   

   Pooja is twice as efficient as Aarti and takes 90 days less than Aarti to complete the job. Find the time in which they can finish the job together.

1. A. 30 days     
2. B. 45 days      
3. C. 60 days        Correct Answer
4. D. 90 days      

10.  

    
    

    If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

1. A. 4 days       Correct Answer
2. B. 5 days      
3. C. 6 days      
4. D. 7 days      

11.  

    
    

    Monika is twice as good as Sonika and together they complete a piece of work in 20 days. In how many days will Monika alone will finish the work?

1. A. 22 days     
2. B. 30 days        Correct Answer
3. C. 37 days      
4. D. 52 days      

12.  

    
    

    A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

1. A. 8 hours     
2. B. 10 hours      
3. C. 12 hours        Correct Answer
4. D. 24 hours      

13.  

    
    

    A takes 24 day in completing a work alone. TIme taken by A in completing 1/3rd of the work is equal to the time taken by B in completing half of the work. How many days will be taken in completing the work if both A & B start working together?

1. A. 21/3 days     
2. B. 48 days      
3. C. 40 days      
4. D. 48/5 days        Correct Answer
5. E. None of these      

14.  

    
    

    A can do a piece of work in 20 days. He works it for 4 days and then B finish the work in 12 days. How long will it takes if both A and B works together ?

1. A. 6 days     
2. B. 8.5 days        Correct Answer
3. C. 10.3 days      
4. D. 12 days      

15.  

    
    

    Ram and Rohit together can finish a job in 10 days. Ram can do the same job on his own in 12 days. How long will Rohit take to do the job by himself

1. A. 40 days     
2. B. 60 days        Correct Answer
3. C. 80 days      
4. D. 100 days      

16.  

    
    

    If 36 men can do a piece of work in 25 days, in how many days will 12 men do it ?

1. A. 35     
2. B. 56      
3. C. 75        Correct Answer
4. D. 80      

17.  

    
    

    5 men can complete a work in 10 days and the same work 6 women can complete in 15 days. How many days will 2 men and 3 women together take to complete the work ?

1. A. 12(3/11) days     
2. B. 13(7/11) days        Correct Answer
3. C. 15(3/7) days      
4. D. 16(5/11) days      

18.  

    
    

    A man, a women and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a women take to complete the work ?

1. A. 9 days       Correct Answer
2. B. 11 days      
3. C. 13 days      
4. D. 16 days      

19.  

    
    

    A can build a wall in 30 days, while B alone can build it in 40 days. If they build it together and get a payment of Rs. 14000, what is B's share ?

1. A. Rs. 5000     
2. B. Rs. 6000        Correct Answer
3. C. Rs. 6500      
4. D. Rs. 7000      

20.  

    
    

    A and B undertook to do a piece of work for Rs. 4500. A alone should do it in 8 days and B alone in 12 days. With the assistance of C they finished the work in 4 days. C's share of money is

1. A. Rs. 695     
2. B. Rs. 710      
3. C. Rs. 750        Correct Answer
4. D. RS. 800      

21.  

    
    

    A can do a work in 4 days and B can do the same work in 3 days. How long it will take if both A and B do the work together ?

1. A. 1 days     
2. B. 1 days 5/7 hours        Correct Answer
3. C. 2 days 3 hours      
4. D. 3 days      

22.  

    
    

    A and B together can complete a piece of work in 72 days, B and C together in 120 days and A and C together in 90 days. A, B and C together can complete the work in ?

1. A. 35 days     
2. B. 40 days      
3. C. 48 days      
4. D. 60 days        Correct Answer

23.  

    
    

    A does 20% less work than B. If A can complete a piece of work in 7(1/2) hours, then B can do it in

1. A. 4 hrs     
2. B. 5 hrs      
3. C. 6 hrs        Correct Answer
4. D. 8 hrs      

24.  

    
    

    20 men complete one third of a piece of work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days ?

1. A. 12       Correct Answer
2. B. 15      
3. C. 22      
4. D. 25      

25.  

    
    

    10 women can complete a work in 6 days and 10 children take 12 days to complete the work. How many days will 6 women and 4 children together take to complete the work ?

1. A. 7½ days       Correct Answer
2. B. 8½ days      
3. C. 9½ days      
4. D. 10½ days      

26.  

    
    

    Hari can do a work in 28 days. Jadu is 40% more efficient than Hari. The number of days, Jadu will take to do the same piece of work is

1. A. 8 days     
2. B. 10 days      
3. C. 15 days      
4. D. 20 days        Correct Answer

27.  

    
    

    12 women can complete a work in 8 days and 9 girl take 12 days to complete the work. How many days will 6 women and 9 girl take to complete the work ?

1. A. 5(5/7) days     
2. B. 6(6/7) days        Correct Answer
3. C. 8(1/3) days      
4. D. 11(3/7) days      

28.  

    
    

    If 6 men or 10 women can finish a piece of work in 20 days, 4 men and 5 women will do the same work in

1. A. 14(1/7) days     
2. B. 15(1/7) days      
3. C. 17(1/7) days        Correct Answer
4. D. 19(1/7) days      

29.  

    
    

    A can do a piece of work in 18 days which B can do it in 10 days. B work at it for 9 days. A can finish the remaining work in

1. A. 1(4/5) days       Correct Answer
2. B. 3¾ days      
3. C. 3½ days      
4. D. 5½ days      

30.  

    
    

    The A Minar casts a shadow of 180m long at the same time when the B Minar casts a shadow of 120m long on the ground. If the height of the B Minar is 80m, what is the height of the A minar ?

1. A. 105m     
2. B. 115m      
3. C. 120m        Correct Answer
4. D. 135m      

31.  

    
    

    A works twice fast as B. If both of them can together finish a piece of work in 15 days then B alone can do it in

1. A. 28 days     
2. B. 33 days      
3. C. 37 days      
4. D. 45 days        Correct Answer

32.  

    
    

    A can do ¼ th part of the work in 10 days. B can do 40% of the work in 40 days and c can do 1/3rd of the work in 13 days. Who will complete the work first ?

1. A. A     
2. B. B      
3. C. C        Correct Answer
4. D. All will complete the work on same time      

33.  

    
    

    A and B can finish a piece of work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days. A alone can finish the work in

1. A. 47 days     
2. B. 52 days      
3. C. 60 days        Correct Answer
4. D. 72 days      

34.  

    
    

    A and B can complete a work in 30 days, while B and C do the same work in 24 days and C and A do the same work on 20 days. They all work together for 10 days and after that B and C leave the work. How many days more will A take to finish the work ?

1. A. 12 days     
2. B. 13 days      
3. C. 16 days      
4. D. 18 days        Correct Answer

35.  

    
    

    A can complete a work in 15 days and B can complete the work in 20 days. If B works for 8 days and left the job, then in how many days the A can complete the remaining job ?

1. A. 6 days     
2. B. 7 days      
3. C. 8 days      
4. D. 9 days        Correct Answer

36.  

    
    

    10 men can finish the construction of a wall in 12 days. How many men are added to finish the work in half a day ?

1. A. 120     
2. B. 220      
3. C. 230        Correct Answer
4. D. 240      

37.  

    
    

    A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs. 2000, A will get

1. A. Rs. 1200       Correct Answer
2. B. Rs. 1300      
3. C. Rs. 1400      
4. D. Rs. 1500      

38.  

    
    

    9 children can complete a piece of work in 360 days; 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work ?

1. A. 57 days     
2. B. 66 days      
3. C. 71 days      
4. D. 81 days        Correct Answer

39.  

    
    

    A can complete a work in 2 days and B can complete the work in 3 days. With the help of C they together completed in 1 day. C alone can complete the work in ?

1. A. 2 days     
2. B. 4 days      
3. C. 6 days        Correct Answer
4. D. 7 days      

40.  

    
    

    6 men can finish a piece of work in 30 days. If 3 men more join with them then the work will be completed in

1. A. 18     
2. B. 20        Correct Answer
3. C. 22      
4. D. 24      

41.  

    
    

    8 men working 8 hours a day can complete a piece of work in 14 days. In how many days can 6 men working for 9 hours a day, complete the same piece of work ?

1. A. 13(11/29) days     
2. B. 16(16/27) days        Correct Answer
3. C. 17(13/17) days      
4. D. 19(3/11) days      

42.  

    
    

    4 men or 6 women can do a work in 12 days. How long will 6 men and 6 women take to finish the work

1. A. 4 days     
2. B. 4(4/5) days        Correct Answer
3. C. 5(1/2) days      
4. D. 4(1/2) days      

43.  

    
    

    A can do a piece of work in 50 days which B alone can finish in 40 days. Both together work for 10 days and then A leaves off. How many days will B take to finish the remaining work ?

1. A. 15 days     
2. B. 18 days      
3. C. 19 days      
4. D. 22 days        Correct Answer

44.  

    
    

    A and B complete a work in 6 days. If can A can complete the work in 14 days, in how many days B alone can do the same work.

1. A. 1 days     
2. B. 1 days 5/7 hours        Correct Answer
3. C. 2 days 3 hours      
4. D. 3 days      

45.  

    
    

    Ram can do a work in 15 days. Rahim is 50% more efficient than Ram. The number of days, Rahim will take to do the same piece of work is

1. A. 7 days     
2. B. 8 days      
3. C. 10 days        Correct Answer
4. D. 13 days      

46.  

    
    

    10 women and 6 men can do a work in 5 days. 7 women and 8 men can do a same work in 6 days. How long will 12 women and 3 men can take to do the work?

1. A. 4 (¾) days       Correct Answer
2. B. 5 (½) days      
3. C. 3 (5/6) days      
4. D. 6 (¼) days      
5. E. None of these      

47.  

    
    

    25 men can complete a piece of work in 16 days. After 4 days from the start of the work, some men left. If the remaining work was completed by the remaining men in 15 days, then find the men left after 4 days from the start of the work?

1. A. 3 men     
2. B. 4 men      
3. C. 6 men      
4. D. 5 men        Correct Answer
5. E. None of these      

48.  

    
    

    20 men can complete a work in 12 days. 6 days after they started the work, 5 men left the job. How many days will it take to complete the remaining work?

1. A. 10 days     
2. B. 7 days      
3. C. 8 days        Correct Answer
4. D. 6 days      
5. E. None of these      

49.  

    
    

    A and B undertook to complete a piece of work for Rs. 4500. A can do it in 12 days, B can do it in 16 days and with the help of C, they complete the work in 5 (1/3) days. Find the share of C?

1. A. Rs. 850     
2. B. Rs. 1000        Correct Answer
3. C. Rs. 600      
4. D. Rs. 700      
5. E. None of these      

50.  

    
    

    If 4 men or 7 women can reap a field in 49 days, then what will be the time taken by 6 men and 14 women to reap the field?

1. A. 12 days     
2. B. 10 days      
3. C. 16 days      
4. D. 14 days        Correct Answer
5. E. None of these