A project is assigned to P, Q and R. They decided to work together and make some adjustment with them such that P can leave 3 weeks before the completion and R works only for 4 weeks. If P, Q and R can complete in 24, 36 and 48 weeks respectively then the project will complete in:a)12 weeks b)24 weeks c)13 weeks d)18 weeks

• Ans = 15 days ....
  One week work for each= 1/24, 1/36, 1/48..
  let work is completed in x weeks .. So total work done by each in X weeks =1..
  So.. P works x-3 weeks, Q works x weeks, and R works only 4 weeks ..
  (x-3)/24 + x/36 + 4/48=1..
  Solving for X.. No of weeks = 15 .. :)
• 11 years agoHelpfull: Yes(21) No(7)
• for p work done in 1 week =1/24
  for q "" "" "" "" "" "" =1/36
  for r =1/48
  
  total work during 4 weeks=4*( 1/24+1/36+1/48) = 0.361
  remaining work is 1-.361=0.639
  work done by q in 3 weeks=3/36 =.08333
  so work done bye p and q =.639-.08333=.55567
  
  which can be done by p and q in 0.55567/(1/24+1/36)=8 weeks
  
  so total weeks=8+4+3=15
  
  
• 11 years agoHelpfull: Yes(1) No(1)
• 24 p can leave b4 3 weeks not specified it is leaving or not
• 11 years agoHelpfull: Yes(0) No(3)
• Vikas kumar pandey is right
  Answer will be 15 weeks as it is not mention in this question's option.
  project will completein 15 weeks as Q works 15 weeks , P works 12 weeks and R works only 4 weeks .
• 11 years agoHelpfull: Yes(0) No(2)