A can complete a job in 16days.He started the work and after 4 days B joined him. They completed the job in 4 more days.Find the number of days in which B alone can complete it.

• Ans:8 Days
  As
  A=1/16 work in 1 day
  let B do 1/X work in 1 day
  
  4*(1/16)+4(1/16+1/X)=1
  So, 1/X=1/8
  So X=8 days to complete same work
  
• 9 years agoHelpfull: Yes(17) No(0)
• A in one day completes 1/16 th part of work..he works for four days
  so in four days he completes 1/4 th part of work
  remaining 3/4 th part of work should be complete by A and B in 4 days....
  so they can complete full work in 16/3 days.... (1/x)+(1/16)=(3/16) solving
  we get x=8 days so B alone can do it in 8 days .....
• 9 years agoHelpfull: Yes(11) No(1)
• 1/4+1/4+4/x=1
  x=8days
  
• 9 years agoHelpfull: Yes(2) No(2)
• Ans 8 Days
  A one day work was 1/16
  B one day work we are take 1/x
  A in 4 days completed work was 1/4
  so remaining work from A was 1/16-1/4=3/16
  hence A+B=3/16
  1/x+1/16=3/16
  so x=8
• 9 years agoHelpfull: Yes(2) No(0)
• 1day work of a=1/16
  let 1 day work of b=1/x
  4 day work of a=4/16=1/4
  left work=(1-1/4)=3/4
  4(1/16+1/x)=3/4
  x=8
• 9 years agoHelpfull: Yes(1) No(0)
• 1/A+1/B=1/8,
  
  so solving it we get 1/B=1/8
  
  so b can do the work in 8 days
• 9 years agoHelpfull: Yes(0) No(0)
• Total Work = 16
  A's capacity to do work in 1 day= 1
  for the first 4 days , A did 4 work
  Remaining work= 12 (which is done by both A and B)
  12 work is completed in next 4 more days. But A can do 1 work per day i.e for 4 days he did 4 work.
  Thus , work done by B =8(in 4 days)
  Thus B can do 2 work per day.
  Total work = 16
  Therefore, B alone will take = 16/2 = 8 days to complete the work
• 9 years agoHelpfull: Yes(0) No(0)
• let the work be 16 units
  then A's capacity = 1 unit/day
  (A+B)'s capacity = 2 unit/day
  B's capacity = 1unit/day
  therefore time taken by B = 16 days
• 9 years agoHelpfull: Yes(0) No(0)
• 8 days.
  1/16+1/16+1/16+1/16=1/4th work done by A
  rest 3/4th done by both in next 4 days.
  in 4 days work done by A is 1/4th of total so remaining 1/2th work done by B in 4 days.
• 9 years agoHelpfull: Yes(0) No(1)
• B will complete it in 8 days.
• 9 years agoHelpfull: Yes(0) No(0)
• B alone can complete it in 8 days. let the work to be completed is 16 units. A ca do 1 unit/day. In 4 days, he can do 4 units. in 4 more days he completes 4 units. rest of 8 units can be done by B in 4 days.
• 9 years agoHelpfull: Yes(0) No(0)
• A=4
  A+B=4
  B=X+4
  PUTTING
  4+(X+4)=16
  THATS MEAN 8
• 9 years agoHelpfull: Yes(0) No(0)
• 8 days.
  4(1/16+x)=3/4
  x=1/8
  no of days = 8
• 9 years agoHelpfull: Yes(0) No(0)
• A's 1 day work=1/16
  First 4 days work of A=4*(1/16)=1/4
  4A+(A+B)4=1
  1/4+(A+B)*4=1-1/4
  A+B=3/16
  1/16+B=3/16
  B=3/16-1/16
  B=2/16
  B=8 days
• 6 years agoHelpfull: Yes(0) No(0)
• A completes 1/4th of work
  A and B completes 3/4th of work in 4 days
  A can complete 3/4th of work in 12 days
  lcm of 12 and 4 is 12
  A does 1part of 3/4th in 1 day
  A and B does 3 parts of 3/4th work in one day
  so,B does 2parts of 3/4 in 1 day
  b does 3/4 th work in 6 days
  total work in 8 days
• 5 years agoHelpfull: Yes(0) No(0)