Question

Hans runs 6 miles in 45 minutes. At the same rate, how many minutes would he take to run 4 miles?minutes

Answer 1

Given:

a.) Hans runs 6 miles in 45 minutes.

To be able to determine how many minutes would he take to run 4 miles, we will be using ratio and proportions.

We get,

`\text{ 6 miles : 45 minutes = 4 miles : x}`

Where,

x = time he would take to run 4 miles.

`\text{ 6 miles : 45 minutes = 4 miles : x }\rightarrow\text{ }\frac{\text{6 miles}}{45\text{ minutes}}=\frac{4\text{ miles}}{x}_{}`

`\frac{\text{6 miles}}{45\text{ minutes}}=\frac{4\text{ miles}}{x}`
`(6\text{ miles)(x) = (4 miles)(45 minutes)}`
`\text{x = }\frac{\text{4 (miles) x 45 minutes}}{6\text{ (miles)}}`
`\text{x = }\frac{\text{180 minutes}}{6\text{ }}`
`\text{ x =30 minutes}`

Therefore, it'll take 30 minutes for Hans to run 4 miles.