A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work

• ratio=2:1
  both finish the work=1/18
  a can finish=1/18*2/3=2/54=1/27
  ANS=27...............
• 8 years agoHelpfull: Yes(17) No(0)
• assume B completes 1unit of work per day.
  =>A completes 2 units per day
  =>both A and B complete 3 units per day
  =>total units of work=3u*18=54 units
  => ANS :no of days for A alone=54/2=27 days
• 8 years agoHelpfull: Yes(13) No(0)
• A=2x and B=x
  1/2x+1/x=1/18=>x+2x/2x^2=18
  3x/2x^2=1/18 when we evaluate it, it gets a values as 27
  i.e A can finish the work in 27 days
• 8 years agoHelpfull: Yes(5) No(3)
• Answer is 27days
  A+B=18 days
  if A & B one day work as ratio 2:1
  Add the ratio we get total value=3
  we only find A's working day
  
  =(1/18)*(2/3)
  =we get (1/9)*(1/3)
  =1/27
  so A Working days is 27 days
• 8 years agoHelpfull: Yes(3) No(0)
• Let B complete it in B days
  So as A is twice good A can complete it in B/2 days
  Their one day work
  2/B+1/B=1/18
  B=18*3
  So for A B =18*3/2=27 days
• 8 years agoHelpfull: Yes(2) No(0)
• A=2B
  A+B=18
  let total work is 54 unit
  So
  A+B do 54 unit for 18 days
  A+B do 3 unit work per day
  As A DO TWICE WORK THEN B
  therefore A do 2 unit per day
  So A will take 27 days to complete cork
  
• 8 years agoHelpfull: Yes(1) No(0)
• Let A takes x days and B takes y days to finish the work. A is twice as good as B means A alone takes y/2 days to finish the work.
  So together they take 18 days. That is (x*y)/(x+y) =18 where x=y/2.
  Substituting we get 54/2=27 days as the answer.
• 8 years agoHelpfull: Yes(1) No(0)
• 27 because 2x+x=3x and 3x will complete work in 18 days so 2x will complete work in 27 days
  
• 8 years agoHelpfull: Yes(1) No(0)
• ANS IS 27 DAYS
• 8 years agoHelpfull: Yes(1) No(0)
• A =2x and B=x in the given question
  so,A and B work together is 2x+x=1/18 ---->(1)
  3x=1/18
  x=1/3*18
  x=1/54 ---> (2)
  equ (2) sub in (1)
  finaly we get answer x=27...so Answer is 27.
  
• 8 years agoHelpfull: Yes(0) No(0)
• A=2B A+B=18
  (1/A)+(1/B)=1/(A+B)
  (1/A)+(2/A)=1/18
  3/A=1/18
  =>A=54
  So, A alone can do work in 54 days
  
• 8 years agoHelpfull: Yes(0) No(2)
• 27 days to complete by a
• 8 years agoHelpfull: Yes(0) No(0)
• 3/20 + 1/30 + 1/60 = 1/5 (3 days work)
  1/5 work completed in 3 days
  so work completed in 3*5 = 15 days
• 8 years agoHelpfull: Yes(0) No(0)
• ratio is 2:1 for efficiency ; So for days it is 1:2
• 6 years agoHelpfull: Yes(0) No(1)
• a=2b
  a+b=18
  solving two eqns we get a=12
• 6 years agoHelpfull: Yes(0) No(2)
• B= 2*A
  A+B = 18
  3A=18
  A=6
  So A can cmplt the work in 6days by working alone
• 5 years agoHelpfull: Yes(0) No(1)
• B=2A, A=2B
  They work together so,
  B*2B/B+2B=18
  2B/3=18
  B=27days
• 5 years agoHelpfull: Yes(0) No(0)
• 1/x+1/y =1/18, 1/x=2/y
• 5 years agoHelpfull: Yes(0) No(0)