g and m can paint 720 box in 20 days,m and h in 24 days and h andg in 15 days.g works for 4 days,m for 8 days,h for 8 days.find total no of boxes painted by them?

• g+m paint 36 boxes in 1 day
  m+h paint 30 boxes in 1 day
  h+g paint 48 boxes in 1 day
  m+g+h paint 114/2=57 boxes in 1 day.
  h paints 57-36=21 boxes in 1 day, g paints 57-30 =27 boxes in 1 day, m paints 57-48=9 boxes in 1 day.
  g works for 4 days (108 boxes),m for 8 days (72 boxes),h for 8 days (168 boxes)
  total 348 boxes
• 12 years agoHelpfull: Yes(67) No(1)
• 57
  why because ,2(g+m+h)=19/120;
  g+m+h=19/240*720 boxes=57.
• 12 years agoHelpfull: Yes(2) No(15)
• g+m---->720---->20
  m+h---->720---->24
  h+g---->720---->15
  --------------------
  2(m+g+h)---->2160---->59
  (m+g+h)----->1080---->59
  givein days(4+8+8)=20
  so no of boxes painted by them=(1080/59)*20=366.10=366
• 12 years agoHelpfull: Yes(2) No(8)
• sorry it was my mistake...
• 12 years agoHelpfull: Yes(2) No(2)
• this question requires option for fast answering.
  first calculate number of boxes made in 1 day for all given pairs.
  now sum up it would be 2(g+m+h)=114.
  hence boxes made by G+M+H in one day=57.
  now first calculate for 4 days work 4*GMH=228
  now G leaves but still calculate 8*GMH=456
  go through and select value between 228 and 456
• 12 years agoHelpfull: Yes(1) No(5)
• answer is 342
  given
  1/g+1/m=1/20---------------------(1)
  1/m+1/h=1/24---------------------(2)
  1/h+1/g=1/15---------------------(3)
  now g's 1 day work=1/2*((1)+(3)-(2))
  so,1/g=3/80;
  now m's 1 day work=1/2*((1)+(2)-(3))
  so,1/g=1/80;
  now h's 1 day work=1/2*((2)+(3)-(1))
  so,1/g=7/240;
  if g completes 720 box in80/3 days in 4 days it will paint 102 box
  if m completes 720 box in80 days in 8 days it will paint 72 box
  if h completes 720 box in240/7 days in 8 days it will paint 168 box
  therefore total no of boxes painted=168+72+102=342
• 12 years agoHelpfull: Yes(1) No(4)
• its simple...
  Considering work done by people in 1 day...
  g+m=(720/20)=36
  m+h=(720/24)=30
  h+g=(720/15)=48
  
  so m+g+h=57 ........(i)
  Now,
  considering total no of boxes painted by them is X.
  work done by m in 1 day=>X/4 ....(ii)(since 4 days are given for g to work)
  work done by g in 1 day=>X/8 ....(iii)
  work done by h in 1 day=>X/8 ....(iv)
  
  so (X/4)+(X/8)+(X/8)=57 from eq.(i ii iii iv)
  sove for x...
  X=114
• 12 years agoHelpfull: Yes(1) No(3)
• my answer came 296.86 so close arnd it
• 12 years agoHelpfull: Yes(0) No(5)