Question

One lap around the West Middle School track is one-sixth of a mile. Jane ran 7 laps around the track in 10 minutes 30 seconds.seconds. What was Jane’s average speed in miles per minute?

Answer 1

Answer: $\dfrac19\text{ miles per minute}$

Step-by-step explanation:

Given: Length of one lap = $\dfrac16$ mile.

Jane ran 7 laps, Total distance covered = $7\times\dfrac16=\dfrac76\text{ miles}$

Time taken =  10 minutes 30 seconds

$=\text{ 10 minutes}+\dfrac{30}{60}\text{ minutes}\text{ [1 minute = 60 seconds]}\\\\=(10+\dfrac{1}{2})\text{ minutes}\\\\=\dfrac{21}{2}\text{ minutes}$

Jane's average speed = $\dfrac{\text{Total distance covered}}{\text{ Time taken}}$

$=\dfrac{\dfrac76}{\dfrac{21}{2}}\\\\=\dfrac{7}{6}\times\dfrac{2}{21}\\\\=\dfrac{1}{9}\text{ miles per minute}$

Hence, Jane’s average speed = $\dfrac19\text{ miles per minute}$

Answer 2

Based on the number of laps that Jane ran and the time she ran it in, her average speed per minute must have been 0.11 miles per minute.

First convert the number of laps ran to miles:

= Number of laps x Conversion factor

= 7 x 1/6

= 7/6 miles

The number of minutes was:

= 10 minutes 30 seconds

= 10.5 minutes

The speed in miles per minute is:

= Number of miles / Number of minutes

= 7/6 ÷ 10.5

= 0.11 miles per minute

In conclusion, find out more at 0.11 miles per minute.

Find out more at https://brainly.com/question/20244484.