P alone can complete a piece of work in 6 days and Q alone can complete the same piece of work in 12 days. In how many days can P and Q together complete the same piece of work?

A 3 days

B 4 days

C 6 days

D 1 days

E None of these

Solution

Correct Answer: Option B

P in one day can do 1/6th of the work

Q in one day can do 1/12th of the work

Together in 1 day, they can do (1/6)+(1/12) = 1/4th of the work

Hence, they can do the whole work together in 4 days.

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