Quantitative Aptitude: Time and Work Set 10

Time and Work Questions for IBPS/SBI PO, NIACL, NICL, LIC, BOI, Bank of Baroda and other competitive exams

1. A is thrice as good a workman as B and therefore able to finish a job in 48 days less than B working together ,they can do it in how many days together ?
   A) 13 days
   B) 15 days
   C) 18 days
   D) 12 days
   E) 116 days
   
   View Answer

     Option  C
   Solution:
   .                   A:B
   Efficiency=3:1
   Time=1:3
   Multiplying by 24 on both the sides ,
   A’s=24 days
   B’s=72 days
   Therefore,2 units =48 days
   1 units =24 days
   Total work=No. of days *Efficiency
   .                                       72*1
   .                                        =72
   One day work of A and B is 3+1=4 units
   A and B will complete the work in =72/4=18days.
   
2. Three men –A ,B and C working together can do a job 6 hours less time than A did alone ,1 hour less time than B alone and half the time needed by C .In how many days will A finish the work alone ?
   A) 20/3 days
   B) 23/4 days
   C) 22/5 days
   D) 33/6 days
   E) 27/8 days
   
   View Answer

     Option A
   Solution:
   A+B+C          A           B            Cx hr.            x+6       x+1       2xTaking LCM = 2x (x+1)(x+6)
   Taking efficiency of A and B ;
   2x(x+1)(x+6)/(2x² +2x+2x² +12x)        = 2x/1
   3x² +7x-6=0
   X=-3(ignore)
   X=2/3
   A will finish its work in (x+6)=20/3 days
3. A work is started by a man on the first day. Each subsequent day a new person joined the work and it is known that the total work will completed on the 11th day. If from the starting day 6 men working on that work and no new men added later, in how many days the work got completed?
   A) 15 days
   B) 12 days
   C) 14  days
   D) 11 days
   E)  None of these.
   
   View Answer

     Option D
   Solution:
   1day work of a man is 1 unit. If a new person joined the work on second day, 2 units of work get completed. Similarly 3 units on 3rd day, 4 units on 4th day so on…
   Then for all the eleven days the total work = 1 + 2 + 3+ ………….11 = 66 units (Use formula
   N(N+1)/2)
   Now 6 men /day work = 6 units/day.
   They can complete 66 units of work in =
   66/6
   =11 days
   
4. Two men can complete a piece of work in 3 days while 3 women can complete the same work in 4 days and 4 children can complete the same work in 6 days. Then find in how many days 1 men ,1 women and 2 children can complete the same work ?
   A) 4 days
   B) 3 days
   C) 5 days
   D) 2 days
   E) None of these.
   
   View Answer

     Option B
   Solution:
   2M *3 = 3W*4 = 4C*6
   .      1M =  2W =   4C
   LCM=4
   1 Man’s efficiency= 4units/day
   2 Women’s efficiency=2units/day
   4 Children’s efficiency= 1 units/day
   Total work =(2*4)*3=24 days
   (1man+1woman+2children)=4+2+2=8
   (1man+1woman+2children) complete the work =24/8=3 days
   
5. 30 men are supposed to do a work in 38 days. After 25 days, 5 more men were employed on work for which the work is completed in 1 day before . If 5 more men were not worked then how many days took in delay?
   A) 1 day
   B) 2 days
   C) 3 days
   D) 4 days
   E) None of these.
   
   View Answer

     Option A
   Solution:
   30Men * 25 days = 750
   35 Men * 12 Days = 420
   Total =750+420=1170
   Now,1170/30 =39 days
   1 day delay
   
6. 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 the 7th day .Find the men who are in the work initially ?
   A) 155
   B) 135
   C) 120
   D) 140
   E)  160
   
   View Answer

     Option D
   Solution:
   Total work = M * 4 = 4M
   M + (M+20) +…….
   7/2 [2M +6(-20)] =4M
   M=140
   
7. A printer A can print one thousand books in 15 hours ,printer B can print the same number of books in 10 hours and printer C can print the same number of books in 12 hours . If all the printers are started to print the books at 8 A.M, After sometime printer A is closed at 9 A.M and printer B and printer C remains working. Find at what time the printing will be completed ?
   A) 4(3/11)hours 
   B) 3(1/11)hours 
   C) 5(1/11)hours 
   D) 3(5/11)hours 
   E) None of these.
   
   View Answer

     Option C
   Solution:
   Let printing completed in be T hours
   Then A ‘s 1 hour work ,B’s T hours work and C;s T hours work =Total work
   1/15 +T/10+T/12 =1
   T= 5(1/11)
   Hence ,the printing of books will be completed at 5(1/11)hours
   
8. Ramesh and Ram can do a piece of work in 24 and 30 days respectively. They both started and worked for 6 days. Ram then leaves the work and another their friend Rohit joins the work and completed the remaining work with Ramesh in 11 days . Find how many days are taken by Rohit alone to finish the work?
   A) 110 days
   B) 132 days
   C) 150 days
   D) 120 days
   E) None of these.
   
   View Answer

     Option D
   Solution:
   (1/24 + 1/30) *6 +(1/24 + 1/Rohit ) *11 = 1
   Therefore ,Rohit takes 120 days to finish the work.
   
9. A woman has her three daughters. First and second can take 24 and 30 days resp. to complete a work .In how many days third one takes to complete the work. If woman can complete the whole work alone in 3(3/11) days .The efficiency of woman is double than her three daughters.
   A) 22 days
   B) 12 days
   C) 13 days
   D) 21 days
   E) 19 days
   
   View Answer

     Option B
   Solution:
   LCM = 72 (if we are taking woman and her two daughters )
   Here it is given
   Woman Three daughters
   Time taken = 1 : 2
   Efficiency= 2 : 1Three daughters, let P +Q+R=11
   3+2+R=11
   R=6 days
   Her third daughter complete the work in =72/6= 12 Days
   
10. A contractor takes a road construction project to finish it in 40 days and for that he engaged 200 men. After 30 days he employed 100 more men in this project, then the work finished on time. Find if the 100 more men would not worked then how many more days required to finish the work ?
    A) 8 days
    B) 10 days
    C) 12 days
    D) 7 days
    E) None of these.
    
    View Answer

      Option E
    Solution:
    100 * 10 days = 1000
    Now 1000/200 = 5 days (Initial total no. of men engaged in the project)
    Hence ,5 more days required to finish the work if 100 more men would not joined .
    

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