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Relative Speed: Meeting and Chasing

Two movers on one path close their gap at the sum of their speeds when they head toward each other and at the difference when one chases the other; on a loop, meeting again means one has gained a whole lap. Find the common time first and everything else is rate times time. Clock hands are two runners on a circular track.

grade 7–8 RatiosExpressions Analyze the UnitsConvert to Algebra

Builds on: Ratio, Rate and PercentCount One Quantity Two Ways and Equate

Progression (3)

g7 1. Find the time first, not the zigzags ExpressionsRatios · foundational
g7 2. Solve for the opposite-hands moment, then step back ExpressionsRatiosNumber system · core
g8 3. Same way: lap gap; opposite way: lap sum ExpressionsRatios · core