A and b together can do do a piece of work in 3 days, but alone can do in in 12 days . How many days the b alone to do the work
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Consider eating 60 ( L.C.M of 12 and 15 - for easy canculation. You can assume any number) candies is the above said work.
A takes 12 days to eat 60 candies. ie, A eats 5 candies per day. Similarly, B eats 4 candies per day. Together they eat 9 candies per day.
They work together for 4 days. ie, 4 x 9 = 36 candies. Now 24 candies are left. These 24 candies have to be eaten by A only.
A eats 5 candies per day. So A will require 24/5 days to eat the remaining candies.
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