Q. Rashmi can do a piece of work in 16 days. Ravina can do the same work in 12 days while Gitika can do it in 32 days. All of them started to work together but Rashmi leaves after 4 days. Ravina leaves the job 3 days before the completion of the work. How long the work last?

• if work is complete in x days
  rashmi work 4 day,ravina work (x-3) day and gitika work x days
  so according to question
  4/16+(x-3)/12+x/32=1
  (24+8x-24+3x)/96=1
  11x=96
  x= 96/11 days(9 days apporex...)
• 10 years agoHelpfull: Yes(76) No(3)
• bingo mohan lal
• 10 years agoHelpfull: Yes(6) No(1)
• r+r+g complete in 4 days= 4*(1/16+1/12+1/32)= 17/24
  gitika complete in 3 days= 3/32
  remaining work=[1-(17/24+3/32)]=19/96
  ravina+ gitika complete in 1 day=(1/12+1/32)= 11/96
  so 19/96 work done in(96/11*19/96)= 1( approx)
  so total time required is (4+3+1)= 8 day ( approx)
• 10 years agoHelpfull: Yes(3) No(1)
• let total days req is x
  gitika worked whole work that means tolal x days
  ravina worked (x-3)days
  and rashmi worked for 4 days only
  
  total work =1
  x/32 + (x-3)/12 + 4/16=1
  
  x=48/11 =4 apprx
  
• 10 years agoHelpfull: Yes(2) No(13)
• work done by rashmi ravina nd gitika in 1 day is 1/16 , 1/12,1/32 resp.
  work done by them in 3 days is 3/16, 3/12, 3/32 resp.
  after which ravina leaves.
  so work left is 1-(3/16 + 3/12 +3/32) = 15/32
  now this has to be completed by rashmi and geetika..
  rashmi leaves after 4 days .. so more 1 day work needs to be done by rashmi after ravina leaves.
  so work left after rashmi leaves is 15/32 - ( 1/16 + 1/32) = 12/32 = 3/8
  now gitika needs to complete the left work.
  1/32 is done in 1 day so 3/8 work will be done in 1* 32* 3/8 =12 days.
  so total no of days required is:
  3(after which ravina leaves) + 1( more one day after which rashmi leaves) + 12( reqd days by gitika to complete remaining work) = 16 days
• 10 years agoHelpfull: Yes(2) No(9)
• if work is complete in x days
  rashmi work 4 day,ravina work (x-3) day and gitika work x days
  so according to question
  4/16+(x-3)/12+x/32=1
  (24+8x-24+3x)/96=1
  11x=96
  x= 96/11 days(8.724547)
  
  
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• 6 years agoHelpfull: Yes(2) No(0)
• Total work = 16days
  
• 10 years agoHelpfull: Yes(1) No(0)
• 1 day work by all=1/16+1/12+1/32=17/96
  4 day work by all=4*17/96
  gitika alone work for 3 days=3/32
  therefore work done during this 7 days=77/96
  this work will be done by ravina and gitika 3days before completion
  (77/96)/(1/12+1/32)=7 days will be taken by them
  hence total 7+3+4 =14 days
• 10 years agoHelpfull: Yes(1) No(2)
• if work is complete in x days
  rashmi work 4 day,ravina work (x-3) day and gitika work x days
  so according to question
  4/16+(x-3)/12+x/32=1
  (24+8x-24+3x)/96=1
  11x=96
  x= 96/11 days
  
  
• 10 years agoHelpfull: Yes(1) No(0)
• PLease share answer for this guyss...waiting
• 10 years agoHelpfull: Yes(0) No(2)
• @varsha
  a -3 days,b-8=3+5 days,c-10=3+5+2 days
  =>a+b+c=3 days,b+c=5days,c=2 days
  =>3(a+b)+5(b+c)+5c=1
• 10 years agoHelpfull: Yes(0) No(0)
• correct ans will be b/w (8 to 9) days
  
• 10 years agoHelpfull: Yes(0) No(1)
• A+B+C=70.82%
  C=9.375
  B+C=20%
  20% work done by b and c in 20/11.458=1.74 days
  Total=7+1.74=96/11
• 9 years agoHelpfull: Yes(0) No(0)
• 8.7days. ie 9days(approx). Final Answer
• 9 years agoHelpfull: Yes(0) No(0)
• 8.2 approx
  
• 9 years agoHelpfull: Yes(0) No(1)