P is able to do a piece of work in 15 days and Q can do the same work in 20 days

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Question

P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?

Options:

A . 8/15

B . 7/15

C . 11/15

D . 2/11

Answer: Option A
AMOUNT OF WORK P CAN DO IN 1 DAY = 1/15
AMOUNT OF WORK Q CAN DO IN 1 DAY = 1/20
AMOUNT OF WORK P AND Q CAN DO IN 1 DAY = 1/15 + 1/20 = 7/60
AMOUNT OF WORK P AND Q CAN TOGETHER DO IN 4 DAYS = 4 × (7/60) = 7/15
FRACTION OF WORK LEFT = 1 – 7/15= 8/15

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