Question

Amit and Bharat can do a piece of work in 45 and 40 days respectively. They began the work together but Amit leaves after some days and Bharat finished the remaining work in 23 days. After how many days did Amit leave?

Answer 1

9 day after amit leave the work

Answer 2

Suppose Amit left after x days

Then,

X/45+23+x/40=1

8x+207+9x/360=1

17x+207/360=1

17x+207=360

17x=360-207

17x=153

X=9days