A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
A. 18 days B. 27 days C. 26.67 days D. 16 days

• Let the total no of days for completing the work = x
  so according to the given condition
  (x-10)(1/20) + (x)(1/30) = 1
  on solving we will get x = 18
• 11 years agoHelpfull: Yes(33) No(6)
• answer is 18 days.... a quits 10 days before means b wrks for 10 days alone.
  Work done By B alone is : 1/30*10=1/3
  wrk left=2/3
  1/12 wrk is done by A+B in 1 day
  2/3 wrk is done in: 12*3/2=18
• 11 years agoHelpfull: Yes(7) No(8)
• 27days.
  
  A and B togthr can do 1/12th work in 1 day.. then they can cmplt in 12days. 10days before it completed, A left. so they togethr workd for 2 days. they workd 1/6th work in 2days. so left work is 5/6th. Bcan do alone 1/30th in 1 day. so B can do 5/6th in 25days. so total no. of days required to cmplt the work is 25+2=27days
• 9 years agoHelpfull: Yes(4) No(4)
• A's and B's 10 days work=10*(1/20+1/30)=5/6
  Rest of the work is to be completed by B alone=1-5/6=1/6
  B's 1 work can be completed in 15 days
  B's 1/6 work can be completed in 15*1/6=2.5days(option not given)
  
• 12 years agoHelpfull: Yes(1) No(14)
• B. 27
  as A and B can together in 12 days.. A worked for 2 days. in 2 days A worked 1/10. now left over work is 1-1/10=9/10 . now in 10 days work is done by B. hence, 30*9/10= 27 days
  
• 8 years agoHelpfull: Yes(1) No(2)
• A B B A+B
  20 days 30 days 10 days alone 40/5 = 8 days ==> Total 10+8=18 days
  work = LCM(Days)=60
  rate 3 2 2 3+ 2 = 5
  ==============================================================
  Work done = 20 remained = 40
• 8 years agoHelpfull: Yes(0) No(0)
• a.18 days
• 6 years agoHelpfull: Yes(0) No(1)