Question

An employee's training time and meeting time cannot exceed 16 hours a month. For every hour of training there is 2 hours of meeting. There should be at least 2 hours of training every month. What is the difference between the maximum and minimum number of monthly training hours that could be allotted to an employee?

Answer 1

t = training hours
m = meeting hours

t + m </= 16
m = 2 t
t >/= 2
so m>/=4
so t+m >=6
t must be at least 2

t + 2 t </= 16
3 t <=16
t </ 16/3 = 5 1/3

2 </ t </= 5 1/3
so I get 5 1/3 - 2 = 3 1/3