Question

Lea walked 1/2 miles in 1/3 hours.

How long will it take Lea to walk 2 1/4 miles?

Enter your answer as a mixed number in simplest form.

Answer 1

takes her 20 minutes to walk 1/2 a mile
2 miles=80 minutes
1/4= 10 minutes i think
so 80+10=1 1/2

Answer 2

Unit rate defined as the rates are expressed as the quantity as 1 such as 2 miles per hour or 3 meters per second.

Given the statement: Lea walked 1/2 miles in 1/3 hours

`\text{Unit rate per miles} = \frac{\text{Number of hours}}{\text{Number of miles}}`

Substitute the given values we get;

`\text{Unit rate per miles} = ((1)/(3))/((1)/(2))`

Simplify:

`\text{Unit rate per miles}=(2)/(3)`

Now, find the number of hours it take Lea to walk
`2(1)/(4)` miles.

Number of miles =
`2(1)/(4)=(9)/(2)`

By definition of unit rates;

`\text{Number of hours}= \text{Unit rate per miles}* \text{Number of miles}`

Substitute the values we get;

`\text{Number of hours} = (2)/(3) * (9)/(4) = (3)/(2) = 1(1)/(2)`

therefore,
`1(1)/(2)` hours it will take Lea to walk
`2(1)/(4)` miles.