Question

A can do a piece of work in 9 days and b in 18 days. They begin together, but a goes away three days before the work is finished. The work lasts for

Answer 1

Answer:

The work lasts for 15 dayd

Answer 2

Step-by-step explanation:

let work lasts for x days.

A does work for (x-3) days.

In 1 day, A does 1/9 part of work.

In (x-3) days A does (x-3)/9 part .

now in 1 day, B does 1/18 part.

in x days, B does x/18 part of work.

A and B together do 1(whole) part of work.

Hence, (x-3)/9 + x/18 = 1

• 2x-6+x/18=1
• 3x-6= 18
• 3x= 24
• x = 8

So the work lasts for 8 days.

Hope you get the answer.