Question

Ms. Graves gave her class 12 minutes to read.

Carrie read 5 1/2 pages in that time.
At what rate, in pages per hour, did Carrie read?
Show all work.

A) 1 1/10
B) 22
C) 27 1/2
D) 66

Answer 1

27 1/2

Explanation:

Carrie read 5.5 pages in the span of 12 min., but the answer is requesting pages per hour, so we have to divide an hour in min. by the span of min that Carrie read.

1 hr = 60 min

60min / 12min = 5

That 5 we then multiply by 5.5, because if she read 5.5 pages in 12 min, she would keep that rate throughout the whole hour.

5.5 * 5 = 27.5 pgs

We can verify this by dividing the fractions of pages over time.

5.5 pg / 12 min = 0.458

27.5 pg / 60 min = 0.458

Hope I helped!!

Answer 2

27 1/2 pages/hour (Answer C)

Explanation:

Find the unit rate:

5 1/2 pages 11/2 pages

------------------- = -------------------

(12/60) hr 1/5 hour

To perform this division by 1/5 hour, invert and multiply:

5 1/2 pages 11/2 pages 11 pages 5

------------------- = ------------------- = -------------- * ------------ = 27 1/2 pages/hour

(12/60) hr 1/5 hour 2 1 hour