# A is thrice as good a workman as B. B takes 60 days more than A to finish a piece of work. The time in which they can do it working together is (a) 25 days (b) 30 days (c) 27 days (d)22 1/2 days

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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

ANSWER

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

ANSWER