A private limited company entrusts works to 20 men, working 12 hours a day. This group can complete the work in 24 days. The company now wants to entrust twice the work to 60 men working 4 hours a day. Assume that 2 men of the first group do as much work in one hour as 3 men of second group do in 1 ½ hours. How many number of days will the second group of men take to complete this work?

a) 108 days b)120 days c)124 days d)81 days

• ans=108 days
  First Group===>20 m1(men)--12 hours/day--24 days
  20 men will complete inn 12*24 hours
  Second Group===>60 m2(men)--4 hours/day--x days
  60 m2 commplete in 4*x hours
  2 m1*1=3 m2*3/2==>m2=4 m1/9
  60*4 m1/9 complete in 4*x hours
  20 m1-------12*24
  60*4/9 m1-------4*x
  20*12*24=60*4/9*4*x
  x=54 days
  twice work
  108 days
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