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A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the wall?
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Explanation:
According to question, work done by A in 4 days
= 4\8 = 1\2
Net work done by (A + B) in 1 day
(1\8−13) = −5\24
Work done by (A + B) in 2 days
= −5\24×2 = −5\12
∴ Work done in 6 days
= 1\2−5\12 = 1\12
∴ 11\12 of the wall is
built by A in 8×11\12 = 88\12 = 22\3
7 1\3 days.