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Question:
A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
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Answer:
A measured work rate is 1/12 or 4/48 per hour
B measured work rate is 1/16 or 3/48 per hour
Combined measured work rate is 7/48 per hour
The combined work rate for 3 days is 21/48 which leaves a balance of outstanding work at 27/64.
For the remaining balance B will complete alone, So 27 + 3 = 9 hours
Answer: It will take B 9 hours to complete the remaining balance 27/48 of work.
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