Katherine works flexible hours. This month she worked a total of 60 hours, which was 3 more than 5 times as many hours as she worked last month. How many hours did she work last month

Let X be the number of hours she worked last month.

She worked 5*X+3 hours this month.
So 5*X+3=60
5*X=57
X=<<11=11>>11 hours. Answer: \boxed{11}.