Question

The Rogers family drove 220 miles in 5.5 hours. How many miles would they drive at this same rate in 4 hours? A. 88 mi B. 147 mi C. 160 mi D. 179 mi Please show ALL work! <3

Answer 1

`\large \boxed{\mathrm{C. \ 160 \ miles}}`

Explanation:

We can solve this problem by ratios.

Let x be the missing value.

`\displaystyle (220)/(5.5) =(x)/(4)`

Cross multiply.

`5.5 * x = 220 * 4`

`5.5x=880`

Divide both sides by 5.5.

`\displaystyle (5.5x)/(5.5) =(880)/(5.5)`

`x=160`

Answer 2

160 miles

Explanation:

We can use a ratio to solve

220 miles x miles

--------------- = ----------------------

5.5 hours 4 hours

Using cross products

220 *4 = 5.5x

880 = 5.5x

Divide each side by 5.5

880/5.5 = x

160 miles