J can dig a well in 16 days. P can dig a well in 24 days. J, P, H dig in 8 days. H alone can dig the well in How many days?

• Let total work is 96
  J's 1 day work =96/16=6
  P's 1 day work=96/24=4
  (J+P+H)'s 1 day work 96/8=12
  so H's 1 day work=12-6-4=2 unit
  means H take 96/2=48 day
• 9 years agoHelpfull: Yes(3) No(0)
• j's 1 day work=1/16
  p's 1 day work=1/24
  so in 1 day j&p can together do (1/16)+(1/24)=5/48 part
  in 1 day j,p &h together can do 1/8 part
  so h's 1 day work =(1/8)-(5/48)=1/48
  so h can do whole work in 48 days
  Ans:48 days
• 9 years agoHelpfull: Yes(2) No(0)
• workdone by j=1/16
  workdone by p=1/24
  workdone done all j,p,h =1/8
  workdone by both j,p =(1/16)+(1/24)
  therefore,workdone by h =(workdone by all)-(workdone by both j,p)
  =1/8 -(1/16 + 1/24)
  =1/48
  therefore the total no of days taken by H is 48 days.....
• 9 years agoHelpfull: Yes(1) No(0)
• j can do work in 1 day is 1/16
  p can do same work in 1 day is 1/24
  All three can same work in 1 day is 1/8
  so,H alone can do same work in 1 day=(1/8)-(1/16-1/24)
  Then for 1 day H alone can do it in 1/48 work
  so,H can do same work can be done in 48 days
• 9 years agoHelpfull: Yes(0) No(0)
• J complete the work in 16 days
  P complete the work in 24 days
  and J+P+H complete the work in 8 days
  work=LCM(16,24,8)=48
  So, Efficiency of J=48/16=3
  Efficiency of P=48/24=2
  and Efficiency of J+P+H=48/8=6
  then Efficiency of H=6-(3+2)=1
  so,H complete the work alone in 48/1=48day
• 9 years agoHelpfull: Yes(0) No(0)
• ans is 48
  1/16+1/24+1/h=1/8
  1/h=1/48
  h=48
  
• 9 years agoHelpfull: Yes(0) No(0)
• j,s work=1/16
  p,s work=1/24
  (j+p),s work=(1/16)+(1/24)=5/48
  (j+p+h),s work=1/8
  h,s work=(1/8)-(5/48)=1/48
  h,s work=48days
• 9 years agoHelpfull: Yes(0) No(0)
• total work is converted into 48 units(lcm of 16,24,8)
  then j`s one day work is 3units.p`s is 2 units and h`s is 1 unit.
  3 unis will be 16 days is as 1 unitwill be? (3/1)*16=48
• 9 years agoHelpfull: Yes(0) No(0)
• j=1/16,p=1/24,j+p+h=1/8
  so,1/16+1/24+h=1/8
  5/48+h=1/8
  h=1/8-5/48=1/48=48days
  
• 9 years agoHelpfull: Yes(0) No(0)