If 12 men and 16 boys can do a piece of work in 5days and 13 men and 24 boys can do it in 4 days, then what is the ratio of daily work done by a man to that done by a boy ?

• 2:1 Ratio of daily work done by a man to that done by a boy.
  
  Let Men = M; Boys = B;
  
  (12M + 16B) in 5days = (13M + 24B) in 4days
  (12M*5)+(16B*5) = (13M*4)+(24B*4)
  60M + 80B = 52M + 96B
  60M - 52M = 96B - 80B
  8M = 16B
  1M = 2B (Simplify)
  M/B = 2/1
  2:1 required ratio.
• 12 years agoHelpfull: Yes(4) No(0)
• ans=2:1,
  since 12 Men and 16 boy complete a work in 5 day then workdone equal to
  12M+16B=1/5 (because workdone=1/Time)
  then workdone equation become as 12*5M+16*5B=1
  60M+80B=1
  similarly 13*4m+24*4B=1
  52M+96B=1
  Since work is same therefore
  60M+80B=52M+96B
  8M=16B
  MB=168
  M:B=2:1
• 12 years agoHelpfull: Yes(0) No(0)