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A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ?

Correct Answer: 13 days

Explanation:

Now, Total work = LCM(16, 8) = 48


A's one day work = + 48/16 = + 3


B's one day work = - 48/8 = -6


Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15


2days B joined with A in working = 2(3 - 6) = - 6


Remaining Work of building wall = 48 - (15 - 6) = 39


Now this remaining work will be done by A in = 39/3 = 13 days.


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