A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days 4/7 of the work is completed. How many additional men may be employed so
that the work may be completed in time, each man now working 9 hours a day?

• 81 additional men be employed.
  
  4/7 of work is completed means,
  Remaining work =1- 4/7 =3/7
  Remaining period= 46-33 =13 days
  
  work = 4/7 : 3/7
  Days = 13:33 :: 117:x
  hrs/day = 9 : 8
  
  Therefore,
  (4/7)*13*9*x = (3/7)*33*8*117
  x=(3*33*8*117) / (4*13*9)
  x=198 men
  So, additional men to be employed = 198-117 =81
• 12 years agoHelpfull: Yes(12) No(4)
• 81 is the additional men required for this
  
  4/7 work finish by 117 men working 8 hour/day in 33days
  time taken to finish 1 work by same working hour n same day = 117*7/4 person required...
  time taken to finish rest work (3/7) work by same working hour n same day = 117*(7/4)*(3/7) person required...
  time taken to finish rest work (3/7) work by working 9hour/day n same day = 117*(7/4)*(3/7)*(8/9) person required.....
  time taken to finish rest work (3/7) work by working 9hour/day in 13 day = 117*(7/4)*(3/7)*(8/9)*(33/13) person required..... = 198 person
  Now as 117 person is already working,
  Additional men required = 198 - 117 = 81 men
• 9 years agoHelpfull: Yes(0) No(0)
• let assume additional mens are = X;
  
  Remaining work =1- 4/7 =3/7
  
  Remaining period= 46-33 =13 days
  
  solution is : ((working men * working hours * working days)/work had done) = remaining working days * working hours * ( working mens + additional mens))/remaining work)
  
  (33 * 8 * 117 )/ (4/7) = (13 * 9 * (117 + X ))/(3/7)
  198 = 117 + X
  x = 81
• 9 years agoHelpfull: Yes(0) No(0)
• 117 men complete the work in 46 days worked 8 hours a day.It means they all together worked for 368 hours. In 33 days they all together worked for 264 hours. the remaining 104 hours work should be done in remaining 13 days working 9 hours a day. If 117 workers work for 9 hours all the 13 days 117 hours work is done.But only 104 hours is remained. so, only 104 workers will work for remaining 13 days.
• 5 years agoHelpfull: Yes(0) No(0)