5 men can do a certain task working 10 hours a day in 1 day that requires 4 Women 2 days working 8 hours a day and 5 boys 4 days working 5 hours a day. If a contractor hires 20 men, 9 Women, and 10 boys to complete together 1000 such tasks, starting on 1st March, 2000, when will the entire work get over ?
2 nd July
29 th June
30 th June
1 4 th August
5 th July

• One task = 5 men 10 hrs 1 day = 50 – man hours
  same task = 4 women 8 hrs 2 days = 64 – women hours
  same task = 5 boys 5 hrs 4 days = 100 – boy hours
  each day total labor available = 20 men (200 man hours) + 9 women (72 women hours ) + 10 boys = 50 boy hours
  200 * 100 / 50 + 72 * 100 / 64 + 50
  = 400 + 150 + 50
  = 600 boy hours
  
  boy hrs task days
  
  100 1 1
  600 1000 ?
  = 1000 * 100 / 600 = 167 days
  from 1st march 167 days = 14th August.
  
• 13 years agoHelpfull: Yes(5) No(3)
• It is not given , for how much time they all( 20 men, 9 Women, and 10 boys) are working per day to complete together 1000 such tasks .
  
  @ Avanti,
  
  pls check.
  
  72 * 100 / 64 is not equal to 150.
  
• 13 years agoHelpfull: Yes(4) No(2)
• im nt getting this answer...im bit confuse between 2nd july n 14th august.
  so plz guide me...
• 12 years agoHelpfull: Yes(0) No(0)
• 14th August
  because all other options are not possible..
• 12 years agoHelpfull: Yes(0) No(0)