Answer:
The unit rate of pages per hour is 39 pages and the unit rate of hour per pages is 1/39 hours
Step-by-step explanation:
We can solve this problem using proportion.
From the question; Leo reads 13 pages in 1/3 hours.
The first part of the question is to find the unit rate for pages per hour.
To find this;
Let x = the number of pages read in 1 hour
13 pages = 1/3 hours
x = 1 hour
Cross-multiply
1/3 × x = 13 × 1
[tex]\frac{x}{3}[/tex] = 13
Multiply both-side of the equation by 3
[tex]\frac{x}{3}[/tex] × 3 = 13× 3
x = 39 pages
Therefore, the number of pages read in 1 hour is 39 which implies the unit rate for pages per hour is 39
For the second part of the question, we are to find the unit rate for hours per page, that is; how many hours can he use to read a page.
Let x = the number of hour use to read a page
13 pages = 1/3 hour
1 pages = x
Cross-multiply
13x = 1/3
To get the value of x, we will divide both-side of the equation by 1/13
13x × [tex]\frac{1}{13}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{13}[/tex]
x = [tex]\frac{1}{39}[/tex] hour
Therefore, the number of hour taken to read 1 page is [tex]\frac{1}{39}[/tex] , which implies the unit rate of hours per page is [tex]\frac{1}{39}[/tex]
