Question

A can do 2/3 of a certain work in 16 days and B can do1/4of the same work in 3days . In how many days can both finish the work ,working together

Answer 1

A can do 2/3 of a certain work in 16 days
Let no of days to do the whole work be x.
Then 2/3 x =16
Whole work will be done by A in ---> x =16 * (3/2) days = 24 days.
Therefore, A's 1 days work = 1/24

B can do 1/4 of the same work in 3 days
Whole work will be done by B in --> x= 3 * 4 days = 12 days
Therefore, B's 1 days work = 1/12

(A+B)'s one days work = 1/24 + 1/12 = 3/24 = 1/8
Therefore, A and B working together can finish the work in 8 days.