Question

Shaun read 60 pages in 3/4 h. What is the unit rate that represents the number of pages Shaun can read in 1 h? Enter your answer in the box.

Answer 1

One way to determine the "unit rate" here would be to multiply both "60 pages" and "(3/4) hour" by 4/3:

            60 pages       per      3/4 hour

        (4/3)(60 pages   per     (4/3)(3/4) hour

            80 pages        per      hour 

You could also solve this by using an equation of ratios:

60 pages              x
------------- = ---------------
 (3/4) hr            1 hr

Solving this results in x = 80 pages.

Answer 2

If Shaun read 60 pages in $\frac{3}{4} h$, the number of pages Shaun can read in 1 hour (unit rate) using proportion is: 80 pages (80 pages in 1 hour).

Given:

Number of pages Shaun read in 3/4 h = 60 pages

Thus, to find the unit rate that represents number of pages to be read by Shaun in 1 hour,

let x = number of pages read in 1 hour.

The following proportion would be created:

60 pages = 3/4 h

x pages = 1 h

• Cross multiply

$\frac{3}{4} \times x = 1 \times 60\\\\\frac{3x}{4} = 60$

• Multiply both sides by 4

$3x = 60 \times 4\\\\3x = 240$

• Divide both sides by 3

x = 80

Therefore, if Shaun read 60 pages in $\frac{3}{4} h$, the number of pages Shaun can read in 1 hour (unit rate) using proportion is: 80 pages (80 pages in 1 hour).

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