14 persons can complete a work in 16 days. 8 persons started the work 12 days after they started the work 8 more person joined them. How many days will they take to complete the remaining work?

12 days
7 days
9 days
None of these

Correct Answer: None of these

Explanation:

∵ 14 person complete in 16 days = 1 work
∴ 8 person complete in 12 days = 1 x (8/14) x (12/16) = 3/7
∴ Remaining work = 1 - 3/7 = 4/7
and total number of person = 8 + 8 = 16
∴ 14 person do 1 work in 16 days
∴ 16 person do 4/7 work in 16 x (14/16) x (4/7) = 8 days

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