6 interns and 2 managers working together can do five times the work that an interns and a manager can do. Calculate the ratio of the working capacities of an intern and a manager?

No.of interns = 6

No.of managers = 2

The work done by an intern = x

The work done by the manager = y

Therefore,

6x+2y = 5(x+y)

6x+2y = 5x+5y

6x-5x = 5y-2y

1x=3y

x/y = 1/3

Therefore, the ratio of the working capacities of an intern and a manager is 1:3