If 20 men or 24 women or 40 boys can do a task in 12 days working for 8 hours a day, how many men working with 6 women and 2 boys take to do a task four times as big working for 5 hours a day for 12 days?

• ans is 122
  Amount of work done by 20 men = 24 women = 40 boys or amount of work done by 1 man = 1.2 women = 2 boys.
  
  20*12*8/1=m*12*5/4
  
  m=128
  
  6 women are the equivalent of 6/1.2 = 5 men and 2 boys = 1 man.
  he equivalent of 5 + 1 = 6 men are already working on the project.
  then 128-6=122
  Therefore, 122 more men are required to work with 6 women and 2 boys to complete the task.
  
  
  
• 9 years agoHelpfull: Yes(16) No(5)
• 20m=24w=40b
  5:6:10
  1m=2b
  3w=5b
  so 6w=5m,2b=1m
  20 men can do a task in 12 days working for 8 hrs
  20*12*8=(6+x)*12*5
  x=26
  required men is 26
  
  
  
• 11 years agoHelpfull: Yes(3) No(5)
• Let’s try solving this Problem using ratio approach.
  Amount of work done by 20 men = 24 women = 40 boys or 1 man = 1.2 woman = 2 boys.
  
  Let us therefore, find out the amount of men required, if only men were working on the job, to complete the new job under the new conditions and then make adjustments for the women and children working with the men.
  
  The man hours required to complete the new job = 4 times the man hours required to complete the old job. (As the new job is 4 times as big as the old job)
  Let ‘n’ be the number of men required.
  20×12×8=n×5×12×4 ⇒ n=8
  
  8 men working will be able to complete the given job.
  
  However, the problem states that 6 women and 2 boys are working on the job.
  6 women =
  6
  12
  =5 men and 2 boys = 1 man. The equivalent of 5+1=6 men are already working.
  
  so answer is =2
• 8 years agoHelpfull: Yes(3) No(2)
• but work is increased by 4 times so men also increases by 4 ( as more work, more men)
  ans 26*4= 104
  
• 9 years agoHelpfull: Yes(2) No(2)
• ans m=122
  
  20m*12*8*=24w*12*8=40*12*8
  5m=6w=10b
  take lcm of 5,610=30
  m=6 efficiency
  w=5 efficiency
  b=3 efficiency
  this will substitute and get total work=11520
  now a/c to question 4*11520=(m*6+6*5+2*3)*5*12
  here m= man count
  is the ans
• 8 years agoHelpfull: Yes(2) No(1)
• 122 is correct answer
• 8 years agoHelpfull: Yes(2) No(1)
• Let’s try solving this Problem using ratio approach.
  Amount of work done by 20 men = 24 women = 40 boys or 1 man = 1.2 woman = 2 boys.
  
  Let us therefore, find out the amount of men required, if only men were working on the job, to complete the new job under the new conditions and then make adjustments for the women and children working with the men.
  
  The man hours required to complete the new job = 4 times the man hours required to complete the old job. (As the new job is 4 times as big as the old job)
  Let ‘n’ be the number of men required.
  20×12×8=n×5×12×4 ⇒ n=8
  
  8 men working will be able to complete the given job.
  
  However, the problem states that 6 women and 2 boys are working on the job.
  6 women =6/12=5 men and 2 boys = 1 man. The equivalent of 5+1=6 men are already working.
  Hence it requires 2 more Men to b added.
  
  
• 8 years agoHelpfull: Yes(1) No(1)
• which one is correct?
• 9 years agoHelpfull: Yes(0) No(2)
• Solution:
  
  Let’s try solving this Problem using ratio approach.
  Amount of work done by 20 men = 24 women = 40 boys or 1 man = 1.2 woman = 2 boys.
  
  Let us therefore, find out the amount of men required, if only men were working on the job, to complete the new job under the new conditions and then make adjustments for the women and children working with the men.
  
  The man hours required to complete the new job = 4 times the man hours required to complete the old job. (As the new job is 4 times as big as the old job)
  Let ‘n’ be the number of men required.
  20×12×8=n×5×12×4 ⇒ n=8
  
  8 men working will be able to complete the given job.
  
  However, the problem states that 6 women and 2 boys are working on the job.
  6 women =
  6
  12
  =5 men and 2 boys = 1 man. The equivalent of 5+1=6 men are already working.
• 7 years agoHelpfull: Yes(0) No(1)
• Ans: Total Men = 122
  
  Amount of 1 work done in 12 days working 5 hrs/day by 20 men = 24 women = 40 boys OR
  20 : 24 : 40 OR 5 : 6 : 10
  OR 1 : 1.2 : 2
  
  5 Men = 6 Women
  1 Man = 2 Boys
  6Women +2Boys = 5 + 1 = 6 Men
  
  Which means (6 men + x men) needed to complete 4 times work in 12 days working 5 hours a day.
  
  Using formula - > work1/work2 = (People1*Days1*Hours1) / (People2*Days2*Hours2)
  
  1/4 = 20*12*8/(6+x)*12*5
  1/4 = 4*8 / (6+x)
  6+x = 128
  x = 122
• 6 years agoHelpfull: Yes(0) No(0)