George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them is.

• Given that G and M can paint 720 boxes in 20 days i.e,they paint 36(720/20) boxes a day.similarly M and H can paint 30(720/24) boxes a day.similarly H and G can paint 48(720/15) boxes a day.
  therefore G+M=36------1
  M+H=30------2
  H+G=48------3
  on solving 1 and 2 we get G-H=6--------4
  on solving 3 and 4 we get 2G=54 therefore G=27
  on substituting G in 1 we get M=9
  on substituting G in 3 we get H=21
  G works for 4 days ie. 4*27=108
  M works for 8 days ie. 8*9=72
  H works for 8 days ie. 8*21=168
  total boxes painted=108+72+168=348(ans)
• 10 years agoHelpfull: Yes(70) No(1)
• g+m=36-----(1)
  m+h=30-----(2)
  h+g=48----(3)
  add all three eq
  m+g+h=57------(4)
  4-1,4-2,4-3 gives m=9, h=21 ,g=27
  (9*8)+(21*8)+(27*4)
  -------> 348 ans.
• 10 years agoHelpfull: Yes(20) No(0)
• G+M paint in 1 day 36 boxes
  M+H paint in 1 day 30 boxes
  G+H paint in 1 day 15 boxes
  
  equating this three equation we can get easily G=27,M=9,H=21
  so george,mark and harry can paint in 1 day 27,9 and 21 boxes resp..
  so the total boxes they painted =27*4+9*8+21*8=348
• 10 years agoHelpfull: Yes(14) No(1)
• Capacity of G + M = 720 / 20 = 36
  M + H = 720 / 24 = 30
  H + G = 720 / 15 = 48
  Combined capacity = 2 (G + H + M) = 114
  G + H + M = 114 / 2 = 57
  Now capacity of G = (G+H+M) - (H + M) = 57 - 30 = 27
  M = (G+H+M) - (H + G) = 57 - 48 = 9
  H = (G+H+M) - (G + M) = 57 - 36 = 21
  
  Given that G worked for 4 days, and mark for 8 and harry for 8 days
  So total work by them = 4 x 27 + 8 x 9 + 8 x 21 = 348
• 10 years agoHelpfull: Yes(13) No(0)
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• 9 years agoHelpfull: Yes(6) No(0)
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• 10 years agoHelpfull: Yes(1) No(25)
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• 10 years agoHelpfull: Yes(1) No(21)
• george and mark can paint 720 boxes in 20 days
  so,in one day they can paint =720/20=36 (i)
  similarly mark and harry can paint in=720/24=30 (ii)
  harry and george can paint in=720/15=48 (iii)
  (i)+(ii)+(iii)=2(george+mark+harry)=114
  george+mark+harry=57
  s0 mark i day work=9,george one day work=27,harry one day work=21
  george 4 day work=27*4=108 mark 8 day work=9*8=72,harry 8 day work=21*8=168
  total work=108+72+168=348
• 8 years agoHelpfull: Yes(0) No(0)
• Capacities of these people as followes
  G + M = 720/20 = 36
  M + H = 720/24 = 30
  H + G = 720/15 = 48
  Adding all above we get 2(G + M + H ) = 114 ⇒ G + M + H = 114/2 = 57
  Now individual capacities are given below
  G = 27 ; M = 9; H = 21
  So 27 × 4 + 9 × 8 + 21 × 8 = 348
  
• 8 years agoHelpfull: Yes(0) No(0)
• Capacities of these people as followes
  G + M = 720/20 = 36
  M + H = 720/24 = 30
  H + G = 720/15 = 48
  Adding all above we get 2(G + M + H ) = 114 ⇒ G + M + H = 114/2 = 57
  1st 4days all worked 57*4=228
  last 4 days m & h = 30*4=120; 228+120=348
• 5 years agoHelpfull: Yes(0) No(0)
• Capacities of these people as followes
  G + M = 720/20 = 36
  M + H = 720/24 = 30
  H + G = 720/15 = 48
  Adding all above we get 2(G + M + H ) = 114 => G + M + H = 114/2 = 57
  Now individual capacities are given below
  G = 27 ; M = 9; H = 21
  So 27 * 4 + 9 * 8 + 21 * 8 = 348
• 4 years agoHelpfull: Yes(0) No(0)