A and B can finish a work in 20 days. A alone can do 1/5th of the work in 12days. In how many days can B alone do it?
The given details are,
A and B can finish a work in = 20 days
(A+ B)’s 1 day work = 1/20
A can finish 1/5th of work in = 12 days
A’s 1 day work = 1/(5×12) = 1/60
We know that,
B’s 1 day work = (A+B)’s 1 day work – A’s 1 day work
= 1/20 – 1/60
= (3-1)/60
= 2/60
= 1/30
∴ B alone can finish the work in = 1/(1/30) = 30days.
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