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The Swimming Mystery: Finding the Time to Touch the Wall Together

In this intriguing math mystery, we delve into the swimming habits of Ms. L's four talented children: Tess, Hannah, Ben, and Emily. Each swimmer excels in different strokes, and during practice, they race in 50-meter sprints. The challenge is to determine how long it will take for all four swimmers to simultaneously touch the same wall. With their individual sprint times in mind, we calculate the least common multiple (LCM) and discover that they will all reach the wall together after 12.096 seconds, showcasing the beauty of math in sports!

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The Swimming Mystery: Finding the Time to Touch the Wall Together

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  1. Swimming in Circles A Mizelle Math Mystery

  2. Tess excelled at backstroke Hannah preferred freestyleand Ben loved butterfly Ms. L’s four children all swam on their high school swim team. Emily was a breaststroker

  3. During practice they would swim 50 meter sprints which required them to swim laps of the pool. • Emily swam 50m breaststroke in sec. • Tess swam 50m backstroke in sec. • Hannah swam 50m freestyle in sec. • Ben swam 50m butterfly in sec.

  4. If all four swimmers started simultaneously, how many seconds would pass before they all touched the same wall at the same time? When would 2 or more things happen at the same time?= LCM Problem

  5. Answer Key part 1 • Emily swam 50m breaststroke in sec. • Tess swam 50m backstroke in sec. • Hannah swam 50m freestyle in sec. • Ben swam 50m butterfly in sec.

  6. Answer Key part 2 • All four swimmers touched the same wall after 12, 096 seconds or 201.6 minutes or 3.35 hours.

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