a man and a women and a boy can complete a work in 20,30 and 60 days respect.how many boysmust assist 2 men and 8 women so as to complete the work in 2 days?

• 2((2/20)+(8/30)+(x/60))=1
  1+(8/3)+(x/6)=5
  solving, we get x=8
• 7 years agoHelpfull: Yes(5) No(0)
• 1 man can do 100% work in 20 days.
  so in 1 day 1 man can do 5% work ,
  
  1 woman can do 100% work in 30 days,
  so in 1 day 1 woman can do 3.33% work.
  
  1 boy can do 100% work in 60 days,
  so in 1 day 1 boy can do 1.66% work
  
  so in 1 day 2 man can do 10% work.
  so in 2 day 2 man can d0 20% work
  
  so in 1 day 8 woman can do 3.33%*8 = 26.64% work.
  so in 2 day 2 woman can do 53.28% work
  
  so in 2 days 2man and 8 woman done 73.28% work
  left work 26.72%
  
  so per day should completed 26.72%/2 = 13.36%
  as we know 1 boy can do 1.66% work in a day
  so to complete 13.36% work in a day there should be 13.36/1.66 = 8 boy needed
  so 8 boy can do 26.72% work in 2 days
  
  so 8 boys requried to assist 2 men and 8 women to complete the work in 2 days.
• 7 years agoHelpfull: Yes(4) No(0)
• lets assume total work 60 unit. ( we take 60 because its the lcm of 20,30,60)
  so a man take 20 days so he is doing 3 unit per day.
  women 30 days so 2 unit per days
  boy 60 days so 1 unit per days
  completing 60 unit in two days means 30 unit per day
  so 2men*3unit+8 women*2unit=22 unit required 30 unit
  so 30-22= 8 unit we know
  1 boy 1 unit so 8 boys required.
• 7 years agoHelpfull: Yes(2) No(0)