An engineer undertakes a project to build a road of 15km in 300 days and employs 45 men for the purpose .After 100 days,he finds only 2.5km of the road has been completed.find the (approx)number of extra men must employs to finish the work in time.
option
a) 43
b) 45
c) 55
d) 68

• M1*D1/w1=M2*D2/W2
  
  M1=45
  D1=100
  W1=2.5
  M2=45+x
  D2=200
  w2=(15-2.5)=12.5
  
  45*100/2.5=(45+x)(200)/12.5
  200x=13500
  x=67.5
  i.e 68(Approx)
  
  Option D is Answer
• 9 years agoHelpfull: Yes(17) No(0)
• 45 workers working already
  
  Let x be the total men required to finish the task in next 200 days
  
  2.5 km done hence remaining is 12.5 km
  Also, work has to be completed in next 200 days (300 - 100 = 200)
  
  We know that, proportion of men to distance is direct proportion
  and, proportion of men to days is inverse proportion
  
  Hence, X = (45 * 12.5 * 100) / (2.5 * 200)
  thus, X = 112.5 that is approximately 113
  
  Thus, more men needed to finish the task = 113-45=68
  
• 9 years agoHelpfull: Yes(10) No(7)
• work man days
  15km 45 300
  2.5km (45+x) 100
  
  Formula=>> M1D1W2=M2D2W1
  
  (45)(300)(2.5)=(45+x)(100)(15)
  
  45*300*2.5/100*15=45+x
  
  9*2.5=45+x
  
  22.5=45+x
  
  therefore x=22.5
  
  total no.of man after 100 day to complete the work in time is =45+22.5=67.5=68(approx)
• 9 years agoHelpfull: Yes(5) No(3)
• option d is correct
  
• 10 years agoHelpfull: Yes(3) No(2)
• The total work to be done is building a 15 Km road.
  In 100 days, 45 persons can complete only building 2.5 Km of the road.
  The question is, how many more men are required to complete the remaining work in specified number of days.
  Therefore, the remaining work to be done is, 15-2.5= 12.5
  In 100 days, 45 men can build 2.5 Km road.
  In remaining 200 days, some x number of persons should build 12.5 Km road.
  Hence,
  100* 45* 12.5 = 2.5* 200* x
  x= 112.5
  x= 113(approx.)
  
  Therefore, additional persons required are (113-68)=68
  Option d is the correct answer.
• 9 years agoHelpfull: Yes(1) No(3)