Question

A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed?; A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 10 days before completion of project, then in how many days the project will be completed?

Answer 1

Answer:

5 days

Step-by-step explanation:

let work done by  A in 20 days be = 1(full project)

work done by A in 1 day = 1/20 (part of project)

work done by B in 30 days be = 1(full project)

work done by A in 1 day = 1/30 (part of project)

Now,  A.T.Q

10/20 + 10/30 = work done by both in days

= 1/2 + 1/3

= 5/6 ( the work completed)

work remaining

= 1 -(work completed)

= 1- 5/6

=   1/6

let x be the days required to complete the remaing work

x/30 = 1/6

x = 30/6 = 5days