A and B together can finish a piece of work in 12 days if a alone can finish the same work in 20 days in how many days b alone can do
1/20 + 1/B = 1/12
now solve for B
60
To determine how many days B alone can do the work, we can start by finding out the rate at which A completes the work per day.
We know that A and B together can complete the work in 12 days, and the work is completed by them at a rate of 1/12 per day.
Next, we can calculate the rate at which A completes the work by himself. If A alone can complete the same work in 20 days, then his rate would be 1/20 per day.
To find out the rate at which B completes the work, we can subtract A's rate from the combined rate of A and B.
(1/12) - (1/20) = 1/30
Therefore, B completes 1/30th of the work in a day.
To determine how many days B alone can complete the work, we need to calculate the reciprocal of B's rate.
Reciprocal of 1/30 = 30/1
So, B alone can complete the work in 30 days.