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Middle School Math Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

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Middle School Math Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

Grades 5-8, Ages 10-13, MATHCOUNTS, AMC 8

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#1 h Apr 3, 2025, 6:46 AM • 1 Y

Y by EthanNg6

Ziron and Zane are running around a square track at constant speeds. Ziron runs at a speed of 2 meters per second, while Zane runs twice as fast as Ziron. They begin at the same point and start running in opposite directions. If they meet after exactly 8 seconds, what is the area enclosed by the square track?

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#3 h Apr 3, 2025, 11:54 AM • 2 Y

Y by orangefronted, sangriabeaver5

Ziron ran a distance $=2\cdot 8=16$ meters
Zane ran a distance $=4\cdot 8=32$ meters
The perimeter of the square is $=16+32=48$ therefore the length of the sides of the track $=\frac {48}{4}=12$ meters.
The area $=12^2=144$ square meters

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