As if to add to the confusion, "algebra" is the name for a certain kind of structure in modern algebra.
This problem illustrates the process of unit conversion; a year is the same as 525,600 minutes even though 1 ≠ 525,600.
Bill takes a trip in which he drives a third of the time at 30 miles per hour, a third of the time at 50 miles per hour, and a third of the time at 70 miles per hour.
Modern algebra also arguably contains the field of number theory, which has important applications in computer science.
(It is commonly claimed that the NSA is the largest employer in the USA of mathematicians, due to the applications of number theory to cryptanalysis.) However, number theory concerns itself with a specific structure (the ring ), whereas algebra in general deals with general classes of structure.