Question

Jeremy traveled 345 miles to visit his cousin in north carolina. if he traveled at a rate of 60 miles per hour, how long did the trip take?

Answer 1

`5.75` hours, or `5` hours and `45` minutes.

Explanation:

Set up a proportion. They are asking "miles per hour" or:

`"miles"/"hours"`

So Jeremy is traveling `60` miles in `1` hour, and his flight is `345` miles in `x` hours:

`60/1 = 345/x`

These two things are equal to each other, because they are proportional.

To solve for `x`, first cross multiply. The ones being multiplied together are colored the same:

`color(blue)60/color(green)1 = color(green)345/color(blue)x`

`60(x) = 1(345)`

`60x = 345`

`x = 5.75`

So Jeremy's flight lasted `5.75` hours. This is the same as `5` hours and `45` minutes.