Lexie Wants To Have A Heel-Toe Race With Her Older Brother

Lexie Wants To Have a Heel Toe Race With Her Older Brother Josh And He

Lexie wants to have a heel-toe race with her older brother Josh and her sister Hannah. She believes that since her feet are smaller, she should race over a shorter distance than her older brother and sister. They measure their tracks as follows: Lexie has a 7-foot track, Josh has a 16-foot track, and Hannah has a 10-foot track. Regarding their shoes, Josh states his shoe is exactly 1 foot long. Lexie says her shoe is 1/2 foot long. Hannah mentions that three of her shoes together add up to 2 feet.

To determine who needs to take the fewest steps, we need to analyze each person's track length relative to their shoe size. The number of steps required to complete each race is calculated by dividing the track length by the shoe length. The person with the fewest steps will be the one who completes their track with the least number of strides.

Paper For Above instruction

First, let's calculate the number of steps each person needs based on their track lengths and shoe sizes:

  • Lexie: Track length = 7 feet; Shoe size = 1/2 foot.

    Number of steps = 7 / (1/2) = 7 * 2 = 14 steps.

  • Josh: Track length = 16 feet; Shoe size = 1 foot.

    Number of steps = 16 / 1 = 16 steps.

  • Hannah: Track length = 10 feet; Shoe size = total of three shoes = 2 feet, so each shoe = 2 / 3 ≈ 0.6667 feet.

    Number of steps = 10 / (2/3) = 10 * (3/2) = 15 steps.

Comparing these, Lexie needs 14 steps, Hannah needs 15 steps, and Josh needs 16 steps. Therefore, Lexie takes the fewest steps to complete her race.

Next, to find out how many more steps Lexie needs compared to the others:

  • Josh needs 16 steps; Lexie needs 14, so Josh needs 2 more steps.
  • Hannah needs 15 steps; Lexie needs 14, so Hannah needs 1 more step.

Thus, Josh needs 2 more steps than Lexie, and Hannah needs 1 more step than Lexie.

Predicting the race outcome, since Lexie requires the fewest steps, she is most likely to finish first assuming they all walk at similar paces. Josh would take the longest because he needs the most steps, making him the slowest, provided all other factors are constant. Hannah's total steps are just above Lexie’s, suggesting she will finish just after Lexie but before Josh, making her the second to finish.

In conclusion, Lexie will probably win the race because she takes the fewest steps to complete her track, and Josh will take the longest due to the greatest number of steps. Hannah will finish second. These predictions are based on step counts relative to their shoe sizes and track lengths, assuming similar walking speeds and stepping patterns.

References

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