Question

Every year 3 Managers are promoted to Partner level.

How many years on average does a Partner stay in the company (while she/he is a Partner)?
Info: B&K is a strategy consulting firm that divides its consultants into three classes: Associates, Managers, and Partners. The firm has been stable in size for the last 30 years, ignoring growth opportunities in the 1990s, but also not suffering from a need to downsize in the two recessions we have seen in the 21st century. Specifically, there have been – and are expected to be – 300 Associates, 70 Managers, and 30 Partners. The work environment at B&K is rather competitive. After five years of working as an Associate, a consultant goes "either up or out"; that is, becomes a Manager or is dismissed from the company. Similarly, after working as a Manager for five years, a Manager either becomes a Partner or is dismissed. The company recruits MBAs as Associates; no hires are made at the Manager or Partner level.

Answer 1

Answer: 2 years

Step-by-step explanation:

Years of existing of the firm=30 years

Number of associates= 300,

Number of Managers= 70;

Number of partners= 30;

Total number of workers=400

Number of years associates has been changed in last 30 year=30/5=6

Number of years managers has been changed in last 30 year=30/3=10

Number of times for partner=x

Number of years partners has been changed in last 30 year=30/x=15

15x=30

x=30/2

x=2 years