A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
A)9.48 days B)12.2 days C)14.76 days D)7.38 days

• A+B=8 units=48/8=6
  B+C=12 units=48/12=4
  A+C=16 units=48/16=3
  LCM=48 total units=6+4+3=13
  2A+2B+2C=13
  2(A+B+C)=13
  A+B+C=13/2=6.5
  ans=48/6.5=7.38 days
• 4 years agoHelpfull: Yes(1) No(0)
• D
  Y
  
  
  
  
  
  
  .
• 3 years agoHelpfull: Yes(0) No(2)
• A+B=8 units=>48/8=6 (LCM of 8,12,16 is 48)
  B+C=12units=>48/12=4
  A+C=16units=>48/16=3
  =>6+4+3=13
  2A+2B+2C=13
  2(A+B+C)=13
  A+B+C=13/2
  =>48*2/3=96/13
  =>7.38
• 2 years agoHelpfull: Yes(0) No(0)
• 2(A+B+C)=13(per day)
• 6 Months agoHelpfull: Yes(0) No(0)