Question

An airplane on autopilot took 8 hours to travel 5,760 kilometers. What is the unit rate for kilometers per hour?

Answer 1

So the unit rate is `720" Kilometres per hour"`

Explanation:

The units of measurement gives the clue as to how to do the calculation.

Kilometres per hour `->("distance in kilometres")/("time in hours")`

`=>("distance")/("time")->5760/8`

For this to become unit (one) rate we need to change the 8 into 1 so we use `8-:8`

To maintain the ratio what we do to the bottom we do to the top when multiplying or dividing.

`=>("distance")/("time")->5760/8 -=(5760-:8)/(8-:8) = 720/1 =(720" Km")/(1" hr")`

So the unit rate is `720" Kilometres per hour"`

Or put another way `720" Kilometres "ul("for each")" hour"`