Question

,s.richards gave her class minutes to read. alex read 9 1/3 pages in that time. At this rate, how many pages will alex read per hour?

Answer 1

`(560)/(t)` pages per hour.

given that
`t` is the amount of time gives her class to read.

Explanation:

It isn't stated that exactly how many minutes the teacher gave Alex to read.

So to go further with this solution, we'll say that the teacher gave
`t` minutes reading time to each student. (so you can just replace t with the actual number in your answer)

Alex read
`9(1)/(3)[tex] pages in [tex]t` minutes.

by dividing the pages with the time, we'll find the rate of pages at which Alex reads per minute.

`9(1)/(3) / t`

we can simplify the mixed fraction

`(28)/(3) * (1)/(t)`

`(28)/(3t) \frac{\text{pages}}{\text{minute}}` (Alex's speed)

To find out how many page Alex will read in an hour we can simply convert the minutes to hour by multiplying by 60 minutes.

`(28)/(3t) \frac{\text{pages}}{\text{minute}} * \frac{\text{60 minute}}{\text{hour}}`

we can see that the minutes cancel out. and 60 multiplies with 28.

`(1680)/(3t) \frac{\text{pages}}{\text{hour}}`

`(560)/(t) \frac{\text{pages}}{\text{hour}}`

this shows that Alex read
`(560)/(t)` pages per hour.