. A and B can do a work in 20 and 30 days respectively. If they have one-day holiday after every four days of working in how many days can they complete the whole work?
(1) 12 (2) 14 (3) 16 (4) 15

• we know , A and B work whole work in 20 and 30 days , it means when we take LCM it should be 60 unit work they have to complete so A can complete 3 unit per day (60/20) adn B complete 2 unit per day(60/30) then A+B=3+2=5 unit per day
  So 60 unit whole work (60 units/5 units per day) it means 12 days to complete but 2 holidays will be there so Ans will be 14 days
• 10 years agoHelpfull: Yes(30) No(0)
• 14 days.
  12 days to complete+2 days holiday
  12+2=14
• 10 years agoHelpfull: Yes(5) No(0)
• a+b take 20+30/(20*30) days to complete that is 12 days
  if after 4 days is holiday there will be lack of 2days
  
  so 12+2=14 days
• 10 years agoHelpfull: Yes(2) No(0)
• @KIRTI......
  IF A can complete a work in 20 days and take rest at 4 days mean
  1 2 3 4 _5 will be rest day
  6 7 8 9 _10 rest
  11 12 13 14 _15 rest
  16 17 18 19 _20 rest day
  mean he will complete the work in 24 days
  
  now if we see B will complete the work 36 days like
  1 2 3 4 _5 rest
  6 7 8 9 _10rest
  _15
  _20
  25
  30 mean he can complete the work in 30 days but after taking rest 36 days
  so
  1/A+1/B=1/24+1/36
  =3/36
  =1/12
  A+B=12 THEY AN COMPLETE THE WORK IN 12 DAYS
  KIRTI NOW GOT OR NOT.........
  Read more at http://www.m4maths.com/placement-puzzles.php?ISSOLVED=&page=1&LPP=10&SOURCE=tcs&MYPUZZLE=&UID=&TOPIC=&SUB_TOPIC=#zdtscFbTItQpWQ81.99
• 10 years agoHelpfull: Yes(1) No(7)
• 14 days yaar.............
• 10 years agoHelpfull: Yes(1) No(0)
• dnt make it much complex,
  1/20+1/30=1/12
  worked for 4 days then,(1/12)*4=1/3
  to complete work 2/3
  will have to work for again 2 times
  but they are having holiday in between..so,the calcluate 14 days is answer
  
• 9 years agoHelpfull: Yes(1) No(0)
• 12 days.......
• 10 years agoHelpfull: Yes(0) No(2)
• plzz explain ms harsha
• 10 years agoHelpfull: Yes(0) No(0)
• 14 days becoz in 12 days they both complete the work and plus 2 days for their holidays so 14 days..
• 10 years agoHelpfull: Yes(0) No(0)
• u made it so complicated...bt nice try...
• 10 years agoHelpfull: Yes(0) No(0)
• Applying unitary method-it needs 14days.
• 10 years agoHelpfull: Yes(0) No(0)
• Applying unitary method-it needs 14days.
• 10 years agoHelpfull: Yes(0) No(0)
• A & B do 60 wrk.....A do alone 2 wrk/day....B do 2wrk/ day.
  hence total work is 5/day....
  hence 60 work can be done in 12 days(60/5)
  but there z holiday after 4 working day so total day =12+2=14days
• 10 years agoHelpfull: Yes(0) No(0)
• ans - (b) 14
• 10 years agoHelpfull: Yes(0) No(0)
• 20+30/20*30=12 days
  2 holiday so 12+2=14 days
• 10 years agoHelpfull: Yes(0) No(0)
• 14 two holidays
• 10 years agoHelpfull: Yes(0) No(0)
• 12+2 =14 DAYS
  
• 10 years agoHelpfull: Yes(0) No(0)
• work done by A & B in 4 days= 4(1/20+1/30)= 1/3
  so evidently remaining work will be finished by them in= (1-1/3)/(1/20+1/30)= 8days
  considering the holidays in between total days needed will be= 12days of work+ 2days of holiday= 14days
  
  so option (2) is correct
• 9 years agoHelpfull: Yes(0) No(0)
• 4/20+4/30=1/3 amount of work is done in 4 days. similarly whole work is done in 14 days
• 5 years agoHelpfull: Yes(0) No(0)
• i dont know
• 4 years agoHelpfull: Yes(0) No(0)