George does 3/5th of a piece of work in 9 days. He then calls in Paul , and they finish the work in 4 days. How long would Paul take to do the work by himself?

• g's 9 days work=3/5
  g's 1 days work=3/5*9=1/15.
  (g+p)'s 4 days work=2/5
  (g+p)'s 1 days work=2/5*4=1/10.
  p's 1 days work=((g+p)'s -g's)1 days work
  =1/10-1/15=1/30
  so p takes 30 days to complete work
• 9 years agoHelpfull: Yes(85) No(0)
• 100% work will be done by George in 15 days
  (1/15)9+(1/15+1/x)4=1
  solving this eqn.
  we get x=30
  hence Paul take to do the work in 30 days
• 9 years agoHelpfull: Yes(51) No(8)
• George alone done a piece of work in 9 days
  George and Paul work together in 4 days
  George 1 days work=3/5*9 => 1/15.
  George and Paul 1day work =2/5*4=>1/10.
  
  Paul take to do the work =(1/10)-(1/15)=>1/30=>30days
  
• 9 years agoHelpfull: Yes(20) No(1)
• whole work done by george=9*5/3=15days
  remaining work=1-3/5=2/5
  according to the question 2/5 work is done by both gorge and paul
  2/5 work in 4 days,whole work in 4*5/2=10days
  workdone by paul=workdone by both -workdone by george=1/10-1/15=1/30=30days
• 9 years agoHelpfull: Yes(14) No(1)
• As George finished 3/5th of his work in 9 days, so he can complete the work in 15 days.
  Now the remaining amount of work is 2/5th. If they both finished 2/5th of the work in 4 days, they both can complete the work in 10days.
  
  Acc. to the question, 1/15 + 1/x = 1/10
  => x=30 days...
• 9 years agoHelpfull: Yes(3) No(0)
• g can do it in=3/5*1/9=1/15
  g+p=1/4*2/5=1/10
  p=1/10-1/15=1/30
  so p can do it in 30 days
• 9 years agoHelpfull: Yes(3) No(0)
• Let total work=100.
  George alone do this in 15 days.
  (100/15)9+(1oo/15+100/x)4=100.
  x=30
• 9 years agoHelpfull: Yes(2) No(0)
• paul will take
  x/((2/5 of x)/4-(3/5of x)/9)=1
  x=30
• 9 years agoHelpfull: Yes(2) No(0)
• one day work by g-3/45=1/15
  reming work=1-3/5=2/5
  let x is one day work by p that means -
  2/5/((1/15)+x))=4
  x=1/30 means 30 day to do work completely
• 9 years agoHelpfull: Yes(1) No(0)
• 2/5 of 100=60%
  efficiency of george = 60%/9=6.67%
  now since 60% work was done by geoge thus let paul efficiency=x %.
  60%+(6.67+x)*4=100
  x=3.33%.
  Therefore time taken by him=100/3.33=30 days
  
• 8 years agoHelpfull: Yes(1) No(0)
• Here, we see that george does (3/5)th of work in 9 days.
  So, he will complete the work in 9*5/3 = 15 days.
  
  After 9th day, Paul Comes to join him.
  Work left to be done = 1 - 3/5 = 2/5
  
  They both complete the work in 4 more days.
  Since, it takes george 15 days to complete the work.
  In one day, he will complete (1/15)th of work.
  In 4 days, he will do (4/15)th of work.
  
  Now, work done by paul in 4 days = 2/5 - 4/15 = 2/15
  So,paul completes (2/15)th of work in 4 days.
  
  Therefore, In one day he will complete 2/60 of work or 1/30 of work.
  So, number of days taken by paul to complete the work is 30 days.
  
• 8 years agoHelpfull: Yes(1) No(0)
• total work is 15 and george will do it in 15 dyas
  in 9 days he has done 9work but still 6 work is remainig
  with paul he will do 4 work in 4 days while paul will do 2 work
  so paul will does 15 work in 30 days
• 9 years agoHelpfull: Yes(0) No(0)
• g can do it in=3/5*1/9=1/15
  g+p=1/4*2/5=1/10
  p=1/10-1/15=1/30
  so p can do it in 30 days
• 9 years agoHelpfull: Yes(0) No(0)
• george does 3/5th work of 9 days.
  so,whole work he does in (5*9)/3=15 days.
  now,(1-3/5)=2/5th work done by paul and george in 4 days.
  so,both can complete the work in (5*4)/2=10 days.
  let paul takes x days to do the work alone
  so,1/15+1/x=1/10
  solving,we get x=30
  
  
  
• 9 years agoHelpfull: Yes(0) No(1)
• g+p=1/4*2/5=1/10
  p=1/10-1/15=1/30
  paul=30
  
  
• 9 years agoHelpfull: Yes(0) No(1)
• supppose total work is 20 unit so geo does 3/5 in 9 d mean 12 unit in 9 days so per day unit is 4/3 .after that 8 unit still remaining both did this in 4 days means complete 2 unit/day .so we find out the per day unit work of paul=2-4/3===2/3 so time taken by paul is 20(total unit)/2/3=30days
• 8 years agoHelpfull: Yes(0) No(1)
• gorge: does 3/5 th in 9 days (3/5 = 9 è3/45 =1/15)
  in 1 day he can do 1/15
  so in 4 days he can do =4/15
  :. total work done by gorge =3/5+4/15=13/15
  
  work left= 1-13/15=2/15
  
  which is done by paul in 4 days so paul can do 2/15*4 in 1 day=1/30
  :. paul will take 30 days to do the job himself
• 7 years agoHelpfull: Yes(0) No(0)
• G= 3/5 * x = 9, => x = 15 days
  G+P = 2/5 * x = 4 => x = 10 days
  taking lcm of g and g+p
  we got 30 i.e. the total work done
  1 day work
  g = 30/15 =2
  g+p= 30/10 = 3
  .'. p= 1
  total time paul take= total work done/p's 1 day work
  =30/1 =30 days
• 6 years agoHelpfull: Yes(0) No(0)