Question

Donna hikes 1/3 mile every 1/6 hour. Draw a model to show how many miles she hikes in one hour and how much time it takes her to hike 1 mile.

Answer 1

Part A) 2 miles

Part B) 1/2 hour

Part C) The model in the attached figure

Explanation:

Let

x -----> the number of miles

y -----> the time in hours

we know that

`(x)/(y)=((1/3))/((1/6))=2`

so

`x=2y` -----> equation A

Part A) Find out how many miles she hikes in one hour

so

For y=1 hour

substitute in the equation A and solve for x

`x=2(1)=2\ miles`

Part B) Find out how much time it takes her to hike 1 mile

so

For x=1 mile

substitute in the equation A and solve for y

`1=2y`

`y=(1)/(2)\ hour`

Part C) Draw a model

The double number line in the attached figure