Question
Download Solution PDFA and B can complete a task together in 9 days. A by herself can complete the task in 12 days. How many days will B need to complete the task alone?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A and B can complete a task together in 9 days.
A alone can complete the task in 12 days.
Formula used:
Work rate of A and B together = Work rate of A + Work rate of B
Work rate is given by the reciprocal of the number of days taken to complete the task.
Calculation:
Work rate of A and B together = 1/9
Work rate of A = 1/12
Let the work rate of B be 1/B
⇒ 1/9 = 1/12 + 1/B
⇒ 1/B = 1/9 - 1/12
⇒ 1/B = (4 - 3) / 36
⇒ 1/B = 1/36
⇒ B = 36
∴ The correct answer is option (3).
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