A does 3/4 of a piece of work in 24 days .He then calls in B and both of them together complete the remaining work in 4 days -how long would B alone take to do the entire work?
a)16 days
b)24 days
c)32 days
d)40 days

• A does 3/4 work ---> 24 days
  A ll do whole(1) work ---> x days
  x = 4/3 * 24 => x = 32 days
  
  So A ll complete the entire work in 32 days
  A does 3/4 work...
  Remaining work left = 1-3/4 = 1/4
  A+B does 1/4 work ---> in 4 days
  A+B ll do whole(1) work ---> x days
  x = 4*4 = 16 days
  
  A's 1 day work = 1/32
  A+B's 1 day work = 1/16
  Then B's 1 day work = (A+B)'s 1 day work - A's 1 day work
  => 1/16 - 1/32
  B's 1 day work => 1/32
  
  So B ll complete the entire work alone in 32 days...
  
  Ans : c) 32 days
• 10 years agoHelpfull: Yes(68) No(2)
• A does 3/4 work in 24 days
  whole work do (4/3)*24=32
  so remaining 1/4 work he will do= 32-24=8
  A+B both do the remaining work in 4 days
  so both take only 50% time and B can also do th remaining work in 8 days
  so B also do the whole work in 32 dys.
• 10 years agoHelpfull: Yes(10) No(0)
• A 1 day work=(3/4)/(24) = 1/32
  work left=1-(3/4)=1/4
  let B 1 day work be x & both of them completed remaining work in 4 days
  so, 4x+4*(1/32)=1/4
  x=1/32 i.e B one day work = 1/32
  Which is same as A
  A can complete the remaining work in 8 days so B will also take the same to complete it.
  hence total time B will take to complete the whole work is= 24+8=32
  
• 10 years agoHelpfull: Yes(5) No(0)
• Suppose A completes A unit work/day and B completes B unit work/day.
  
  When A alone works:: (A units/day) * 24 (days) = 3/4 Work
  
  24*A= (3/4)W => 4A = (1/8)W
  
  When A and B works together:: (A+B units/day) * 4 = 1/4 Work
  
  4A + 4B = (1/4)W
  (1/8)W + 4B = (1/4)W
  
  Solving the above equation:: B = (1/32)W
  
  Which means B alone can complete the work in 32 days.
• 9 years agoHelpfull: Yes(3) No(0)
• 3/4th of work is done in 24 days so 24*4/3=32
  so remaining work 3/4-1=1/4
  1/4 work is done by A and B is 4*4=16days
  A's one day work is 1/32
  (A+B) 's one day work=1/16
  B's one day work=1/16-1/32
  =1/32
  ans:32days
• 8 years agoHelpfull: Yes(3) No(0)
• A work per day=(3/4)/24
  than A WORK for 4 days =4*(1/4*8)
  =1/8
  remaing work =1-3/4 (let totale work be the 1)
  =1/4
  B work for 4 days=1/4-1/8
  =1/8
  B can do work in singel day =(1/8)/4
  =1/32
  entire work is 1 B can do in 32 days
  (1/32*days=1)
  trail the answerssss
  ans is 32 days.....
• 9 years agoHelpfull: Yes(2) No(0)
• C)32 days
  A does 3/4 of a piece of work in 24 days
  and in 1 day he completes 1/32 work
  A&B both does remaining in 1 day is 1/16
  B's 1 day work compared to A is 1/32
  so B can do that work in 32 days
• 9 years agoHelpfull: Yes(1) No(0)
• A does 3/4 work in 24 days that means A can complete the work in 32 days ...
  
  now remaining 1/4 work A can complete in 32-24= 8 days
  because of B...A+B do it in 4 days ....
  
  so they share the work equally that means B is as efficient as A ...........
  so B can complete the work in 32 days .........
• 9 years agoHelpfull: Yes(0) No(0)
• 32 cause take 4parts inthis a does 3parts ---->24
  4parts----->32
  1parts----->8
  but that 1 part a&b cmpltd 4days so both are cmplt same days i.e 32
• 9 years agoHelpfull: Yes(0) No(0)
• 32
  cal one day work
  1/16-3/96
• 9 years agoHelpfull: Yes(0) No(0)
• a does 75% of work in 24 days
  so in one day he will complete 3.1% work
  remaining work 25 % which complete in 4 days by A and B means 6.25 % work in one day
  b does 3.15% of work in one day
  100%/3.15 = 31.75 approx 32 days.
• 8 years agoHelpfull: Yes(0) No(2)
• A does 75% work in 24 days ie. he can do the whole work in 32 days
  when B comes 25% work was remaining and they did it in 4 days so its simple they completed the 25% work in 4 days if they did individually they both will take 8 days each to complete that 25% work so B will take 32 days.
• 8 years agoHelpfull: Yes(0) No(0)
• A complete total work in 4/3*24=32 days
  1/4 work complete by A in 8 days
  A+B=4
  one day work is
  1/8+B=1/4
  B=1/8
  so B complete total work in 8*4=32 days
• 8 years agoHelpfull: Yes(0) No(0)
• A 's work ---> 3/4w in 24 days = > 1 w= 32 days, A's 1 day work =1/32,
  (A+B)'s work---->1/4 w in 4 days = > 1 w=16 days,A+B 1 day work =1/16,
  B 's one day work ----> (A+B)-A =>(1/16)-(1/32)=1/32----> B's work = 32 days
• 8 years agoHelpfull: Yes(0) No(0)