Question
P can do a work in 24 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in_________days.
Answer: Option A
WORK DONE BY P IN 1 DAY = 1/24
WORK DONE BY Q IN 1 DAY = 1/9
WORK DONE BY R IN 1 DAY = 1/12
WORK DONE BY Q AND R IN 1 DAY = 1/9 + 1/12 = 7/36
WORK DONE BY Q AND R IN 3 DAYS = 3×7/36 = 7/12
REMAINING WORK = 1 – 7/12 = 5/12
NUMBER OF DAYS IN WHICH P CAN FINISH THE REMAINING WORK = (5/12) / (1/24) = 10
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WORK DONE BY P IN 1 DAY = 1/24
WORK DONE BY Q IN 1 DAY = 1/9
WORK DONE BY R IN 1 DAY = 1/12
WORK DONE BY Q AND R IN 1 DAY = 1/9 + 1/12 = 7/36
WORK DONE BY Q AND R IN 3 DAYS = 3×7/36 = 7/12
REMAINING WORK = 1 – 7/12 = 5/12
NUMBER OF DAYS IN WHICH P CAN FINISH THE REMAINING WORK = (5/12) / (1/24) = 10
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