A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. the number of days taken by B to finish the work is:

• 15 days.
  
  Let the efficiencies of A and B be '3x' and 'x' respectively.
  No of days taken by A and B to complete the work be 'd' and 'd+10' respectively.
  
  So, 3x*d=x*(d+10)
  =>3xd=xd+10x
  =>2xd=10x
  =>2d=10
  =>d=5.
  
  The number of days taken by B = d+10=5+10=15.
  
• 10 years agoHelpfull: Yes(28) No(0)
• Ans:15
  1:3
  diff=2
  a=1,b=3;
  b work =3/2*10
  =15
• 10 years agoHelpfull: Yes(25) No(0)
• let B takes 3x days and A takes x days.
  since B takes 10 days more than A to finish the job,thus
  3x=x+10
  or,2x=10
  or,x=5.
  therefore B takes 3x=3*5=15 days to finish the job.
• 10 years agoHelpfull: Yes(9) No(0)
• 15 days.
  Let B takes x days then A will take (x/3) days as A is 3 times faster.
  Moreover A takes 10 days less than what B takes i.e x-10 days
  Therefore x-10 =x/3
  2x =30
  x=15
  so B takes 15 days
• 10 years agoHelpfull: Yes(6) No(0)
• ans: 15
  
  3A=B
  A=B-10
  these are the conditions given
  solving them
  
  3A=3B-30
  3A=B
  --------
  0=2B-30
  --------
  2B=30
  
  B=15
• 10 years agoHelpfull: Yes(4) No(0)
• Time taken by A and B to finish the work is A:B=1:3.
  So time difference is (3-1)= 2 days.
  Therefore, in 2 days difference B takes 3 days
  so, in 10 days difference B takes (3/2)*10=15days.
  So A will take 5 days to complete the work and B take 15 days to complete the same work.
  Ans: B will take 15 days.
• 10 years agoHelpfull: Yes(2) No(0)
• A=3B
  In terms of work A:B=3:1
  In Terms of time A:B=1:3
  1:3=(x-10):x
  1/3= (x-10)/x
  x=15
• 10 years agoHelpfull: Yes(2) No(0)
• taking time ratio a=b/3;
  a=b-10
  so b=15days
• 10 years agoHelpfull: Yes(1) No(0)
• 15 days ........................................
  
• 9 years agoHelpfull: Yes(1) No(0)
• 25 days
  let b takes x days to complete then a takes x/3 daays ie equal to x-10
• 10 years agoHelpfull: Yes(0) No(3)
• 15 days
  1/a=1/3b=1/b -10
• 10 years agoHelpfull: Yes(0) No(1)
• A's 1 day work : b's 1 day work = 2:1
  
  B's Can Complete in X days, so A can in X-10 day. therefore
  1/x-10=2
  x=20 = B can complete work in 20 days
• 10 years agoHelpfull: Yes(0) No(1)
• 15 days
  work ratio of A and B=3:1
  time ratio=1:3
  1:3::x-10:x
  x=15
• 10 years agoHelpfull: Yes(0) No(2)
• 3 /1 = x/x+10 ( a=3 , b = 1 workdone)
  solving x = 15 ( a= x b = x+10 time taken)
• 9 years agoHelpfull: Yes(0) No(0)
• let take total work=x
  (x/b)-(x/3b)=10
  thus, x/b=15
• 8 years agoHelpfull: Yes(0) No(0)
• a:b=1:3
  a/b=1/3
  b=3a;
  b=a+10;
  ##
  3a=a+10
  2a=10
  a=5
  =15
• 4 years agoHelpfull: Yes(0) No(0)