Problem:
If you walk for minutes at a rate of and then run for minutes at a rate of, , how many miles have you gone at the end of one hour and minutes?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
To keep the units of miles and hours, first note minutes hour and 30 minutes hour. Since distance rate time, your total distance is
The distance is less than miles, so and can be easily eliminated.
Answer: .
The problems and solutions on this page are the property of the MAA's American Mathematics Competitions