Question : A man, a boy, and a woman can finish work in 10 days, 15 days, and 30 days, respectively. In how many days can the work be finished by a man, a woman, and a boy when all of them work together?
Option 1: 10
Option 2: 5
Option 3: 8
Option 4: 6
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Correct Answer: 5
Solution :
The work done by man in 1 days = $\frac{1}{10}$
The work done by boy in 1 days = $\frac{1}{15}$
The work done by women in 1 days = $\frac{1}{30}$
The total work done by a man, a woman, and a boy in days = ${\frac{1}{10} + \frac{1}{15} + \frac{1}{30}} = \frac{1}{5}$
Required days = 5 days
Hence, the correct answer is 5.
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