Question

A jet travels 560 miles in 5 hours. At this rate, how far could the jet fly in 9 hours? What is the rate of the speed of the jet?

Answer 1

1,008

Explanation:

560/5 * x/9

x=1,008

Answer 2

In order to figure out how far a plane could fly in 9 hours, we have to use unit rate.

(Unit rate is the value you get in one unit, such as Miles Per Hour, or Dollars Per Pound)

In order to figure out
`(miles)/(1 hour)`, we have to simplify the rate we already have.

The given rate is
`(560)/(5)`, and in order to get the unit rate, we simply have to simplify the fraction by dividing both sides by 5:

`(560/5)/(5/5)` =
`(112)/(1)`

Now we know that the unit rate is
`(112 miles)/(1 hour)`

Now, let's use an example.

If a car was going 60 miles per hour for 3 hours, how far would it go? In this case, you'd simply have to multiply 60 and 3 together. The car would travel 180 miles.

Back to the question.

If the jet travels
`(112 miles)/(1 hour)`, how far would it fly in 9 hours?

If you looked at the example, then you already know that you simply have to multiply 112 and 9!

`(112 miles)/(1 hour)` * 9 = 1008

The jet can fly 1008 miles in 9 hours, and the unit rate is
`(112 miles)/(1 hour)`.

Good luck! If you have any questions, just ask! :))