Quantitative Aptitude: Time and Work Set 8

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

1. B takes twice time as A to complete a work and C takes thrice time as B to complete a work. If Rs6000 is given to them to complete a work together then B gets how much amount?
   A) Rs1800
   B) Rs3600
   C) Rs600
   D) Rs3000
   E) Rs1200
   
   View Answer

     Option A
   Solution:
   .               B……A              B…….A
   .               2…….1               1………3
   Days                     A…..B…….C
   .                             1…….2……6
   Efficiency             6…….3…..1
   .                              3/10*6000 =1800
2. A & B can do a piece of work in 80days. B & C can do same work in 50days and C & A can do same work in 60days. Find in how many days they all together can complete that work?
   A) 40 (40/59)
   B) 60 (40/59)
   C) 36 (40/59)
   D) 25 (40/59)
   E) 26 (40/59)
   
   View Answer

     Option A
   Solution:
    LCM = 2400
   A + B = 80………….2400/80 = 30
   B + C = 50…………………………..48
   C + A = 60…………………………..40
   2(A + B + C) = 118
   A+ B + C = 59
   So 2400/59  days           
3. A & B separately can do a piece of work in 9days and 12days respectively. If they work for a day alternatively, A starts the work, in how many days will the work will get completed?
   A) 12(1/4)
   B) 10(1/4)
   C) 8(1/6)
   D) 10(5/6)
   E) 9(1/6)
   
   View Answer

     Option B
   Solution:
                  A=9        4
                  B=12      3          [LCM=36]
                  2 days alternate            (4+3) = 7 days
                  2*5                                    7*5
                  10days                             35days
                  now A’s turn so-  10(1/4) days
   
                 
4. 4men and 6boys earn Rs1600 in 5days, 3men and 7boys earn Rs1740 in 6days, in what time will 7men and 6boys earn Rs3760?
   A) 4days
   B) 6days
   C) 8days
   D) 10days
   E) 5days
   
   View Answer

     Option C
   Solution:
                  4M + 6B= 1600/5=320……………(1)
                  3M + 7B= 1740/6=290……………(2)
                 FROM EQUATION (1) AND (2) WE GET
                 (4*7)B – (3*6)B = 290*4 – 320*3
   B = Rs20……put in (1)
   M = Rs50
   now required number of days
   3760/(7*50+6*20) = 3760/470 = 8days
5. A tap take 42hrs extra to fill a tank due to a leakage equivalent to half of its inflow. The inlet pipe alone can fill the tank in how many hour?
   A) 42hrs
   B) 21hrs
   C) 36hrs
   D) 28hrs
   E) 30hrs
   
   View Answer

     Option A
   Solution:
   .               Without leak……………………With leak
   Efficiency             2………………………….1
   Time                      1…………………………..2
   .                                          +1 == 42hours
   So 42hours
6. A tank can be filled with two pipes in 30minutes and 45minutes. When the tank was empty the two pipes A and B were opened. After some time, the first pipe A was closed and the tank was filled in 24minutes. After how much time from the start was the first pipe A closed?
   A) 16 days
   B) 15 days
   C) 14 days
   D) 12 days
   E) 10 days
   
   View Answer

     Option C
   Solution:
   A = 30, B = 45
   LCM = 90
   So, A = 90/30 = 3
   . B = 90/45 = 2
   B worked for all 24 days means did 24*2 = 48 units work
   Remaining work = 90-48 = 42
   This work is done by A, so 42/3 = 14 days              
7. A boy and a girl together fill a cistern with water. The boy pours 3ltr of water in every 2minutes and the girl pours 2ltr of water in every 3minutes. How much time will it take to fill 91ltr of water in the cistern?
   A) 36min
   B) 42min
   C) 48min
   D) 44min
   E) 45min
   
   View Answer

     Option B
   Solution:
   boy 2min = 3ltr
   girl 3min = 2ltr
   make time same
   6min………..13ltr
   *7…………….*7
     42min………91ltr
8. A and B together can complete a work in 30days and B alone can do it in 60days. Find in how many days A alone can do the work?
   A) 40
   B) 60
   C) 120
   D) 90
   E) 110
   
   View Answer

     Option B
   Solution:
   A+B…30……2
   B……60……1……………(LCM=60)
   A  ……………1
   A = 60/1 = 60
9. A and B can do a work in 18days. They started together but after 8days A left the work. If B does the remaining work in 20days, then in how many days A will do the work alone?
   A) 18
   B) 24
   C) 36
   D) 48
   E) 50
   
   View Answer

     Option C
   Solution:
   . A+B = 18
   Let total work  =18
   1day work of A & B=1
   8days work of A&B =8
   remaining =18 -8 =10
   B does 10 work in 20days
   So     18 work in 36days
   A+B= 18
   B      =36
   LCM = 36
   A+B= 18……..36/18 =2
   B      =36………36/36 = 1
   So A= 1
   So days A   = 36/1   = 36
10. A can write 75pages in 25hrs. A and B together can write 135pages in 27hrs.  In what time can B write 42pages?
    A) 17
    B) 19
    C) 23
    D) 21
    E) 20
    
    View Answer

      Option D
    Solution:
                  A can write 75/25 =3pages in 1hr
    A+B can  135/27 = 5pages in 1hr
    B can write 5-3 = 2page in 1hr
    42/2 =21hrs

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