2023 AMC 8 Problems/Problem 9
Contents
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?
Solution 1
We mark the time intervals in which Malaika's elevation is between and meters in red, as shown below: The requested time intervals are:
- from the nd to the th seconds
- from the th to the th seconds
- from the th to the th seconds
In total, Malaika spends seconds at such elevation.
~apex304, MRENTHUSIASM
Solution 2
Notice that the entire section between the second mark and the second mark is between the and feet elevation level except the seconds where she skis just under the feet mark and when she skis just above the feet mark, making the answer
Video Solution (HOW TO THINK CREATIVELY!!!)
~Education the Study of everything
Video Solution by Math-X (Let's first Understand the question)
https://youtu.be/Ku_c1YHnLt0?si=_0SCHsHavl1dJJpP&t=1364
~Math-X
Video Solution by SpreadTheMathLove
https://www.youtube.com/watch?v=lfyg5ZMV0gg
https://www.youtube.com/watch?v=TAa6jarbATE
Video Solution by Magic Square
https://youtu.be/-N46BeEKaCQ?t=4903
Video Solution by Interstigation
https://youtu.be/DBqko2xATxs&t=786
Video Solution by harungurcan
https://www.youtube.com/watch?v=oIGy79w1H8o&t=15s
~harungurcan
See Also
2023 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.