4. A and B can do a certain job in 5 h, and A alone can do it in 8 h. How long will B take to do
the job alone
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Answer:
Time taken to do the job by (A+B) = 5hrs.
Time taken to do the job by A alone = 8hrs
Then, (A+B)'s 1 hour work = 1/5
and A's 1 hour work = 1/8
So, B's 1 hour work = {(A+B)'s 1 hr work} - {A's 1 hr work}
= 1/5-1/8
= 8/40 - 5/40
= 3/40
Hence, 40/3 will B alone to do the job.
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