P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will

Question

P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in________days if all of them are working together.

Options:

A . 2

B . 3 3⁄7

C . 4 ¼

D . 5

Answer: Option B
WORK DONE BY P IN 1 DAY = 1/24
WORK DONE BY Q IN 1 DAY = 1/6
WORK DONE BY R IN 1 DAY = 1/12
WORK DONE BY P,Q AND R IN 1 DAY = 1/24 + 1/6 + 1/12 = 7/24
=> WORKING TOGETHER, THEY WILL COMPLETE THE WORK IN 24/7 DAYS = 3 3⁄7 DAYS

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