P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q c

Question

P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in________days

Options:

A . 1

B . 2

C . 3

D . 4

Answer: Option D
WORK DONE BY Q IN 1 DAY = 1/12
WORK DONE BY P IN 1 DAY = 2 × (1/12) = 1/6
WORK DONE BY P AND Q IN 1 DAY = 1/12 + 1/6 = ¼
=> P AND Q CAN FINISH THE WORK IN 4 DAYS

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