A contractor undertook to make 15 km of roadway in 40 weeks. IN 10 weeks, 3 km was complete by 180 men working 8 hours a day. The men then agreed to work 1 hour a day overtime, And some boys were engaged to assist them, the work was finished in the stipulated time(40 weeks). How many boys were employed, if the work of 3 boys is equal to that of 2 men?

a)70
b)50
c)60
d)80

• 3 km road can be made by working (10*24*8)hrs by 180 men
  1km............................................................................... 180/3 men
  1km.....................................................1 hr...................{180*(10*24*8)}/3 men
  12km.............................................................................{180*(10*24*8)*12}/3men
  12km...................................................(30*24*9)hrs....{180*(10*24*8)*12}/{3*(30*24*9)}men
  =640/3 men
  extra men needed=640/3-180=100/3 men
  now,
  2 men=3 boys
  1men=3/2 boys
  100/3men=(3/2)*100/3 boys
  =50 boys(answer)
• 10 years agoHelpfull: Yes(5) No(3)
• Not yet Solved
• 10 years agoHelpfull: Yes(2) No(1)
• ANSWER) b)50
  
• 10 years agoHelpfull: Yes(2) No(1)
• ANSWER) b)50
  
• 10 years agoHelpfull: Yes(2) No(2)
• 
  working 1 hour extra a day can build (9/8 )* 3 =3.375 km i.e, .375 km extra of what is done in first 10 weeks .so, in remaining 30 weeks 180 men do extra 1.125 km work, so left work =1.875(extra)
  boys= 3/2 * men needed
  work done by men (needed) in 30 weeks = work done by 180 men in 50 weeks working 1 hour a day
  so, men needed =180 * 50 * 1/(30 * 9)= 33.333
  boys=1.5 * 33.33333=50
• 9 years agoHelpfull: Yes(0) No(0)
• total men = 180*10*8*12/30*9*3=640/3
  extra ,men 640/3-180 =100/3
  extra boys=100/3 *3/2=50
• 9 years agoHelpfull: Yes(0) No(0)