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1 man working alone can finish a project in 12 days, similarly a woman and a child take 24 and 24 days respectively to finish the same work individually. 2 men, 2 women and 2 children started working on the project together. After 1 day, all the children left. Women too worked for next 2 days and left. Rest of the project was completed by the 2 men. How many total days were required to finish the whole work?
  • a)
    5 days
  • b)
    6.5 days
  • c)
    4 days
  • d)
    3 days
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
1 man working alone can finish a project in 12 days, similarly a woman...
►2 men + 2 women + 2 childrens' work in 1 day = 2(1/12 + 1/24 + 1/24) = 1/3
►After 1 day remainig work = 1 - 1/3 = 2/3
►2 men + 2 womens' work in 2 days = 2*2*(1/12 + 1/24) = 1/2
►Remaining work = 2/3 - 1/2 = 1/6
Days requred for 2 men to finish 1/6th of work = 1.
►Total days = 1 + 2 + 1 = 4 days
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1 man working alone can finish a project in 12 days, similarly a woman and a child take 24 and 24 days respectively to finish the same work individually. 2 men, 2 women and 2 children started working on the project together. After 1 day, all the children left. Women too worked for next 2 days and left. Rest of the project was completed by the 2 men. How many total days were required to finish the whole work?a)5 daysb)6.5 daysc)4 daysd)3 daysCorrect answer is option 'C'. Can you explain this answer?
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