Question
A and B can do a piece of work in 21 and 24 days respectively.They start the work together and after some days, A leaves and B completes the rest of the task in 9 days. After how many days did A leave?
Answer: Option C
PART OF WORK COMPLETED BY A IN A DAY = 1/21 PART OF WORK COMPLETED BY B IN A DAY = 1/24 PART OF WORK COMPLETED BY THEM TOGETHER IN A DAY = (1/21)+(1/24)
= 5/56 PART OF WORK COMPLETED BY B IN 9 DAYS
= 9/24 = 3/8 IF A LEFT AFTER X DAYS,
(5X/56)+(3/8) = 1
X = 7
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PART OF WORK COMPLETED BY A IN A DAY = 1/21 PART OF WORK COMPLETED BY B IN A DAY = 1/24 PART OF WORK COMPLETED BY THEM TOGETHER IN A DAY = (1/21)+(1/24)
= 5/56 PART OF WORK COMPLETED BY B IN 9 DAYS
= 9/24 = 3/8 IF A LEFT AFTER X DAYS,
(5X/56)+(3/8) = 1
X = 7
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