60 men can complete a piece of work in 40 days.60 men start the work but after every 5 days 5 people leave.in how many days will the work be completed?

• The work will not be completed...3/16 amount of work will be left even after everyone has left
• 11 years agoHelpfull: Yes(23) No(8)
• (60*40) men complete the work in 1 day
  1man's 1 day work is 1/60*40
  60 men's 5 day work is 5*(1/40)=1/8
  remaining work (1-1/8)=7/8
  as 5 men leave
  55 men's 1 day work=55*(1/60*40)=11/60*8
  now
  11/60*8 work done by them 1day
  7/8 work done by them [(60*8)/11]*(7/8)=420/11=38.18
  so they complete in (38.18+5) days{5 day added bcoz alrdy 5dy work had been done}
  43.18 day total work will be completed.
• 11 years agoHelpfull: Yes(11) No(24)
• Let the total work be 2400 (Product of 60 and 40) units of work. Let us assume 1 man does 1 unit of work in a single day.
  So in 5 days, 60 men do 5*60 = 300 units of work. Pending work = 2100 units
  From days 5­->10, 55 men do 5*55 = 275 units of work. Pending work = 1825 units
  From days 10­->15, 50 men do 5*50 = 250 units of work. Pending work = 1575 units
  In a similar fashion, after 20 days pending work = 1350 units, 25 days = 1150 units, 30 days = 975 units, 35 days = 825 units
  36 ->­ 40 days (25 men) = 700 units, 41­->45 days(20 men) = 725 units, 46->­50 days (15 men) = 650 units, 51->­55 days (10 men) = 600 units,56­->60 days (5 men) = 575 units
  
  Now as all men leave in the 60th day and still work is pending the work will never get completed
• 7 years agoHelpfull: Yes(9) No(2)
• we know that 60 men has to work for 40 days
  so total men-days =60*40=2400
  60 men can work for 5 days=60*5=300 men-days
  55 men can work for 5 days=55*5=275 men-days
  50 men can work for 5 days=50*5=250 men-days
  45 men can work for 5 days=45*5=225 men-days
  40 men can work for 5 days=40*5=200 men-days
  35 men can work for 5 days=35*5=175 men-days
  30 men can work for 5 days-30*5=150 men-days
  25 men can work for 5 days=25*5=125 men-days
  20 men can work for 5 days=20*5=100 men-days
  15 men can work for 5 days=15*5=75 men-days
  10 men can work for 5 days=10*5=50 men-days
  5 men can work for 5 days=5*5=25 men-days
  so total work done=300+275+250+225+200+175+150+125+100+75+50+25=1950
  hence work to be done=2400-1950=450 men-days
  so work will not be completed
• 5 years agoHelpfull: Yes(6) No(0)
• after every 5 days , 5 people left,after 40 days, the remaining persons are 20
  i.e. 60-(5*8)=20
  also, 60 persons worked for 32 days,
  so now, 60 persons worked for 32 days
  and remaining 20 persons will finish the work in x days
  solving u will get 96 days
  ans=96
• 11 years agoHelpfull: Yes(5) No(18)
• work will not be completed bcz after 60 days 15/96 work will be remain...
• 11 years agoHelpfull: Yes(5) No(5)
• snm_1447@yahoo.co.in
• 11 years agoHelpfull: Yes(4) No(7)
• answer is 420/11
• 11 years agoHelpfull: Yes(4) No(9)
• 46/96 of work left ... work will not be complete..
• 11 years agoHelpfull: Yes(4) No(3)
• @anurag-plzz explain properly....
  
• 11 years agoHelpfull: Yes(2) No(4)
• ya 13/160 work still left i think. so@dhivya bharti..plz mention the options for that question...plz do paste option
• 11 years agoHelpfull: Yes(2) No(3)
• Total men days = 60 *40 = 2400 men-days.
  
  60 men work for 5 days = 300 men days
  55 men work for 5 days = 275 men days
  50 men work for 5 days = 250 men days.
  45 men work for 5 days = 225 men days
  40 men work for 5 days = 200 men days.
  35 men work for 5 days = 175 men days
  30 men work for 5 days = 150 men days.
  25 men work for 5 days = 125 men days
  20 men work for 5 days = 80 men days.
  15 men work for 5 days = 75 men days
  10 men work for 5 days = 50 men days.
  05 men work for 5 days = 25 men days
  
  Total men days till now = 300+275+250+...+50+25 = 1930 men days.
  Rest men days = 2400 - 1930 = 470 men days.
  Now 5 men needs to do 470 men days in 5 days which is not possible as there is not much man power.
  
  Hence, it cannot be completed.
• 5 years agoHelpfull: Yes(1) No(0)
• options are
  a) 60
  b) 80
  c) 120
  d) none of the above
  @ VIKAS
• 7 years agoHelpfull: Yes(0) No(7)
• HERE FOR EACH AND EVERY 5 DAYS 20% OF WORK IS GETTING COMPLETED. SO I THOUGHT OF DOING LIKE THIS,
  2400/20=120 DAYS
• 4 years agoHelpfull: Yes(0) No(1)