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

Answer:

$\dfrac{560}{t}$ pages per hour.

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

Step-by-step 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 $9\frac{1}{3}[tex] pages in [tex]t$ minutes.

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

$9\frac{1}{3} \div t$

we can simplify the mixed fraction

$\dfrac{28}{3} \times \dfrac{1}{t}$

$\dfrac{28}{3t} \frac{\text{pages}}{\text{minute}}$  (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.

$\dfrac{28}{3t} \frac{\text{pages}}{\text{minute}} \times \frac{\text{60 minute}}{\text{hour}}$

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

$\dfrac{1680}{3t} \frac{\text{pages}}{\text{hour}}$

$\dfrac{560}{t} \frac{\text{pages}}{\text{hour}}$

this shows that Alex read $\dfrac{560}{t}$ pages per hour.