A contractor undertook to complete a piece of work in 120 Days and employed 140 men upon it. At the end of 66 days only half of the work was done,so he put on 25 extra men. By how much time did he exceed the specific time?

• half of the work is done by 140 persons in 66 day .
  now remaining half work will be done by 165 persons in x days
  
  66*140 = 165*x
  x = 56
  so the remaining half work will be done in 56 days .
  so the total elapsed time to complete the work = 66+56 = 122
  so the time exceed by 2 days.
• 10 years agoHelpfull: Yes(30) No(0)
• 2 Days
  
  Since, work done by 140 men in 66 days = 140M*60D => 9240 M-D (M-D => men days)
  (which is half work done)
  days left = 120-66 => 54
  work left = 9240 M-D (as it is half work done. So, to complete the work we
  need to do this much again)
  But, in 54 days work done by 140 + 25(extra men)= 165M*54D => 8910M-D
  work left after working remaining 54 days with 165 men =9240-8910 => 330M-D
  
  Now,
  we have 165 men to do 330M-D work
  Days required to complete this work = 330/165 => 2 days
  Ans. 2 days more required.
• 10 years agoHelpfull: Yes(3) No(0)
• total Work=(no. of person * no. of days)=(half work in 66 days)
  therefore, complete work = 2*66*140=18480, out of which 9240 days are left
  Now, no. of persons =140+25= 165
  Req days= days left/no. of person= 9240/165 = 56 days
  => it takes 66+56= 122 days to complete the work
  But 120 days are given
  => 2 days are exceeded
• 9 years agoHelpfull: Yes(0) No(0)
• Ans: 2 days
  Sol: formula is (M*D*H)/W=Constant............(where M=man,D=day,H=hour and W=work)
  according given question
  (66*140)/(1/2)=(D*165)/(1/2)
  D=56
• 9 years agoHelpfull: Yes(0) No(0)
• work done=total number of person*number of days;
  half of work done=140*66;
  for half of remaining work 25 extra men are added.
  therefore ,total men for half work remaining=140+25=165;
  let 2nd of work will be completed in X days;
  140*66=165*X
  X=122;
  122-120=2days
• 8 years agoHelpfull: Yes(0) No(0)
• TOTAL MAN-DAYS REQUIRED TO COMPLETE THE REMAINING WORK = 140 * 66 = 9240 MAN-DAYS
  NOW 25 MORE MEN ARE EMPLOYED.
  TOTAL MEN = 165
  165 * DAYS = 9240
  DAYS = 56 DAYS
  TOTAL TIME TAKEN TO COMPLETE THE WORK = 66 +56 = 122 DAYS
  TIME EXCEEDED = 122-120 = 2 DAYS
• 6 years agoHelpfull: Yes(0) No(0)
• M1*D1= M2 * D2
  1/2. 1/2
  
  
  WHERE .
  
  140*66 = 165*X
  
  X = 56 DAYS
  
  66+56 = 122 DAYS
  
  122-120 =
  
  2 ( EXCEED DAYS )
• 2 years agoHelpfull: Yes(0) No(0)