.y can do a work in 2/3 the time it takes x, z can do same work in ¾ time it takes y. when all three are typing the same time what is the fraction of total work does y do a)4/13 b)8/29 c)1/3 d)9/23

• as per data.. Y=2/3x---- (1) and Z=3/4Y----(2)
  and they all type the same time X+Y+Z=1----(3)
  and from equations (1) and (2) substitute interms of Y in eq (3)
  3/2Y+Y+3/4Y=1
  (6Y+4Y+3Y)/4=1
  13Y/4 =1
  Y=4/13
  therefore ans is Y=4/13
• 8 years agoHelpfull: Yes(14) No(7)
• let x can do 60 units of work in 1 minute .
  then y can do 40 units and z can do 30 units of work.
  
  let them type for a minute .. total work done will be 120 unit
  
  then y's fraction of work = 40/120 = 1/3
  
  option c is correct
• 8 years agoHelpfull: Yes(4) No(12)
• suppose, x can do a work in 60 mins. y will take 40 mins and z will take 30 mins to complete the work. all are typing for suppose 60 mins. z will type 2 work, y will type 1.5 work, x will type 1 work. total 2+1.5+1=4.5. out of 4.5 y had done 1.5 work. that's why 1/3 is the ans.
• 8 years agoHelpfull: Yes(4) No(0)
• Efficiency of x and y in the ratio is x : y :: 3 : 2
  Efficiency of x and y in the ratio is y : z :: 4 : 3
  this is in the form of x : y : z
  3 : 2
  4 : 3
  So all three efficiencies are in the ratio x : y : z :: 12 : 8 : 6
  Now, y = 8/26 => 4/13
  
  
• 8 years agoHelpfull: Yes(4) No(0)
• Errors @ MOUSOM CHATTERJEE
  correction
  
  let x can do 60 units of work in 1 minute .
  then y can do 40 units and z can do 30 units of work.
  
  let them type for a minute .. total work done will be 130 unit
  
  then y's fraction of work = 40/130 = 4/13
  
• 8 years agoHelpfull: Yes(3) No(2)
• 4/13
  y=t
  x=1.5t
  z=0.75t
  ans =y/(x+y+z)
• 8 years agoHelpfull: Yes(2) No(0)
• X : Y= 3:2
  Y : Z= 4:3
  X :Y:Z= 6:4:3
  Y= 4/(6+4+3) => 4/13
• 8 years agoHelpfull: Yes(2) No(0)
• I think the answer is 1/3
  people, efficiency and time are inversely proportional
  if y take 2/3 time taken by x to complete a task means y is more efficient than x
  say x can do the task in 60 min,
  then y complete it in 2/3 x 60 = 40 min
  and z complete it in 3/4 x 40 =30min
  now say they have got 120 unit of work to complete ( any number can be taken better go for LCM of 60,40,30)
  then, x can do 120/60 units of work in a minuite = 2
  y can do 120/40 units of work in a minuite = 3
  z can do 120/30 units of work in a minuite = 4
  2,3,4 are nothing but efficiency of x,y,z
  now compute the part of work that y does i.e in a minuite both x,,and z complete 9(2+3+4) units of work out of which y does 3 units.
  So ratio = 3/9 = 1/3
• 8 years agoHelpfull: Yes(1) No(1)
• opt (c)
  
  y= 2/3 x
  z=3/4 y
  now,
  let x does 12 hrs of work by taking lcm of 3,4
  so y =2/3*12=8 hrs
  z=3/4*8=6hrs
  so now total units in 1 day== 1/12:1/8:1/6 = 2:3:4
  so,y=3/(2+3+4)=1/3
  
  
  
  
• 8 years agoHelpfull: Yes(1) No(0)
• Let X take a hr to do a work
  So y takes 2/3 a hr
  Z takes 3/4 * 2/3 a = a/2 hr
  Working together their 1 day work
  2/a + 1/a + 3/2a
  =9/2a
  Therefore they will complete in 2a/9 days
  Y's contribution=3/2a * 2a/9
  =1/3 ans
  
• 8 years agoHelpfull: Yes(1) No(1)
• yes time is inversly proportional to efficiency
  
  let x can do a work in 12 min
  then y can do it 12*2/3=8min
  and z can do it in=8*3/4=6 min
  
  let total work is to make 24 unit (LCM of 12,8,6)
  
  then x can make 24/12= 2 unit/min
  y can make 24/8=3 unit/min
  z canmake 24/6=4 unit/min
  total 9 unit/min if all combinely work
  
  then y's share is 3 out of 9 unit
  mean 3/9=1/3 (ANS)
• 8 years agoHelpfull: Yes(1) No(0)
• yup .... a blunder indeed .. was in a hurry :P correction appreciated
• 8 years agoHelpfull: Yes(0) No(0)
• The time taken by the X to complete the work is 3a
  The time taken by the Y to complete the work is 2a
  The time taken by the Z to complete the work is 3/4(2a)=3a/2.
  one day work of X, Y and Z is=9/6a
  we know that one day work of Y is 1/2a
  ratio of one day work done by Y to work done by X,Y and Z=1/3
  
• 8 years agoHelpfull: Yes(0) No(1)
• Y=2/3*X and Z=3/4*Y
  So, ratio of x:y:z is
  3:2
  4:3
  ------
  3*4:4*2:3*2
  12:8:6
  6:4:3
  Y 's fraction of work =4/6+4+3 =4/13
• 8 years agoHelpfull: Yes(0) No(1)
• ans will be 1/3
• 7 years agoHelpfull: Yes(0) No(0)