Question

A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days.
How many days did A leave?​

Answer 1

B finished ( 23/ 40 ) work in 23 days

A and B finished work 1 -( 23/40)= 17/40 in x days.

x ( 1/40 + 1/45) = 17/40

x (8+9)/(8*9) = 17/8

x = 9 days