Question

Problem 1. Mr. Zeigler ran 210 meters in 35 seconds. Jade ran 120 meters in 24 seconds. a. Who ran faster? Explain how you know.

Answer 1

To find who ran faster, calculate the rate for each runner by dividing the distance over the time:

Mr. Zeigler:

`(210)/(35)=6`

Jade:

`(120)/(24)=5`

Since 6>5, then Mr. Zeigler ran faster.

Let t be the time that it takes to run 350 meters.

Since Mr. Zeigler's rate is 6 meters per second, then:

`\begin{gathered} 6* t=350 \\ \Rightarrow t=(350)/(6) \\ \therefore t=58.333\ldots \end{gathered}`

Since Jade's rate is 5 meters per second, then:

`\begin{gathered} 5* t=350 \\ \Rightarrow t=(350)/(5) \\ \therefore t=70 \end{gathered}`