A group of workers can do a piece of work in 24 days. However as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?

• let no of workers is x
  x workers complete the work in 24 days
  so 1 workers can complete the work in 24x days
  now
  x-7 workers can complete the work in 30 days
  so 1 workers can complete the work in 30(x-7) days
  from above
  24x = 30(x-7)
  so x =35
• 11 years agoHelpfull: Yes(31) No(4)
• 7 people absent so x-7 = 35-7 = 28 actually worked on the job
• 9 years agoHelpfull: Yes(6) No(1)
• Let the original number of workers in the group be 'x'
  Therefore, actual number of workers = x-7.
  We know that the number of manhours required to do the job is the same in both the cases.
  Therefore, x (24) = (x-7).30
  24x = 30x - 210
  6x = 210
  x = 35.
  Therfore, the actual number of workers who worked to complete the job = x - 7 = 35 -7 = 28.
• 9 years agoHelpfull: Yes(4) No(0)
• ans is 35.
  simple chain rule
  let x be the no. of workers
  (x-7) :x::24:30 =35
• 9 years agoHelpfull: Yes(3) No(0)
• Let x be the no. of workers
  x workers can do a piece of work in 24 days
  1 worker can do same piece of work in 24/x days
  
  when 7 of workers are absent:
  1 worker completes work in 24/x days
  (x-7) workers can complete the work in 30 days i.e. (x-7)*24/x
  therefore,
  24(x-7) = 30x
  so x =28
• 9 years agoHelpfull: Yes(2) No(7)
• ans is 35.
  24x/1=30(x-7)/1
  x=35
• 9 years agoHelpfull: Yes(0) No(0)
• By the percentage you can do without pen/pencil
  if 24 days took for complete a work that means 1 day work is(100/24=4.17%)
  if 7 are absent took 30 days that means 1 days work is(100/30=3.33%)
  above to value state that 7 person does 4.17-3.33 =0.84% in 1 days
  1 person does in one days=0.84/7=0.12%
  if the 100 % work done in one days requred person=100/0.12=833 man
  if total days is 24 to do 100 % work requre person=833/24=34.7775=35 approx;
  so total person need for done work in 24 days=35
  so total person need for done work in 30 days=28
  Hope that method looks hard but its easy to do calculation in mind:) :)
• 9 years agoHelpfull: Yes(0) No(1)
• ans is 35.....
• 9 years agoHelpfull: Yes(0) No(0)
• Let the original number of workers in the group be 'x'
  Therefore, actual number of workers = x-7.
  We know that the number of manhours required to do the job is the same in both the cases.
  Therefore, x (24) = (x-7).30
  24x = 30x - 210
  6x = 210
  x = 35.
  Therfore, the actual number of workers who worked to complete the job = x - 7 = 35 -7 = 28.
• 8 years agoHelpfull: Yes(0) No(0)
• no of workers =x
  no of workers now =x-7
  x*24=(x-7)*30
  x=35
• 8 years agoHelpfull: Yes(0) No(0)
• asking rest how many worker are doing jab so ans = 28
  but ask total then ans =35 @PRAWIN KUMAR SINGH
• 8 years agoHelpfull: Yes(0) No(0)