2016 AMC 8 Problems/Problem 16
Problem
Annie and Bonnie are running laps around a -meter oval track. They started together, but Annie has pulled ahead, because she runs faster than Bonnie. How many laps will Annie have run when she first passes Bonnie?
Solutions
Solution 1
Each lap Bonnie runs, Annie runs another quarter lap, so Bonnie will run four laps before she is overtaken. For Annie and Bonnie to meet again, Annie needs to run another lap to overtake Bonnie. That means Annie will have run laps.
Solution 2
Call the distance Annie runs. If Annie is faster than Bonnie, then Bonnie will run a distance of . For Annie to meet Bonnie, she must run an extra meters, the length of the track. So , which is laps.
- NoisedHens
See Also
2016 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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