Question

Jasmine ran 10 miles in 60 minutes . at what rate did Jasmine run ? Katie ran 5 miles . she ran at a rate that was 5 minutes per mile show than Jasmine for how many minutes did Katie run ? Explain how you determined your answer.

Answer 1

We know that Jasmine ran 10 miles in 60 minutes, and we want to know the rate at which she ran.

We remember that:

$v=\frac{d}{t}$

where v represents speed, d distance and t time. We get that the rate of Jasmine is

$\begin{gathered} v=\frac{10}{60}mi/\min \\ =\frac{1}{6}mi/\min \\ =0.1\bar{6}mi/\min \end{gathered}$

We will assume that Katie ran 5 miles, and that she ran at a rate that was 5 minutes per mile more than Jasmine.

For determining for how many minutes did Katie run, we will clear out the variable t on the equation above shown. The rate of Katie is:

$v=0.1\bar{6}+5=5.1\bar{6}mi/\min$

Now, we get:

$\begin{gathered} v\cdot t=d \\ t=\frac{d}{v}=\frac{5}{5.1\bar{6}}=0.9677\min \end{gathered}$

This means that Katie will take 0.97 minutes (approximately) to run 5 miles.