Problem:
Malaika is skiing on a mountain. The graph below shows her elevation, in meters, above the base of the mountain as she skis along a trail. In total, how many seconds does she spend at an elevation between and meters?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The first time that she hits an elevation of meters is at seconds. She then dips below meters after seconds. This adds seconds to the total answer. Malaika then goes above meters at seconds. She hits meters again at seconds. This adds more seconds to the total. She finally dips below meters for the last time at seconds. She then falls below meters at seconds, finally adding seconds to the total time. The desired answer is therefore
Thus, is the correct answer.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions