7. A and B start on a job which A can complete in 6 days and B in 8 days After 2 days, B falls ill. How long will A take to complete the rest of the job?
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Answer:
Answer is 5/2 days
Step-by-step explanation:
A can do job in= 6 days therefore, work done by A in 1 day = 1/6
B can do a job in = 8 days
therefore, work done by B in 1 day = 1/8
work done by both (A+B) in 1 day = 1/6+1/8
= 4+3/24 = 7/24
work done by both A and B in 2 days = 7/24*2
= 7/12
So remaining work = 1-7/12
= 12-7/12 = 5/12
V
(A can work in 6 days)
therefore, A can do 5/12 work in= 6×5/12
= 5/2 days
2 1/2 days.
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