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So given A = 3B
so the work which is done by a is x and that work is done by b is 3x
given b takes x + 60 days to complete a work
so 3x = 60 + x ⇒ x = 20
so A can do work in  20 days 
and B can do work in 20 + 60 = 80 days
so both can do the work in A + 3A = 80 + 20 days
so A = 25 days 
so a) 25 days is the answer

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