Question

A can complete a work in 45 days and B can do it in 40 days. They work together for
9 days and then A leaves. In how many days will B finish the remaining work? ​

Answer 1

Answer:

A's 1 days' work  =451,B's 1 days' work =401

Suppose A left the work after x days of the start of the work. Then,

Work done by A in x days =45x

Work done by B in (x+23) days =40(x+23)

Given, 45x+40(x+23)=1⇒360(8x+9x+207)=1

⇒17x=360−207=153⇒x=17153=9 Days