Question

Chris and Jackie are participating in a read-a-thon, and they each read at a constant rate.

Chris read 102 pages in 3 hours.

The table shows the total pages Jackie read after various numbers of hours.

Hours Pages
2 62
4 124
6 186

Which statement correctly describes the number of pages they will read after 9 hours?
A.
Jackie will read 27 more pages than Chris.
B.
Jackie will read 3 more pages than Chris.
C.
Chris will read 3 more pages than Jackie.
D.
Chris will read 27 more pages than Jackie.

Answer 1

First, let's calculate how many pages Chris and Jackie read per hour.

**For Chris:**
Chris read 102 pages in 3 hours.
To find his reading rate:
\[
\text{Pages per hour} = \frac{102 \text{ pages}}{3 \text{ hours}} = 34 \text{ pages per hour}
\]

In 9 hours, Chris will read:
\[
\text{Pages read by Chris} = 34 \text{ pages/hour} \times 9 \text{ hours} = 306 \text{ pages}
\]

**For Jackie:**
From the table, we can see that Jackie read:
- 62 pages in 2 hours
- 124 pages in 4 hours
- 186 pages in 6 hours

We can find Jackie's reading rate. The increase in pages corresponds with the increase in hours:
From 2 to 4 hours (2 hours), she reads 124 - 62 = 62 more pages, which is the same as:
\[
\frac{62 \text{ pages}}{2 \text{ hours}} = 31 \text{ pages per hour}
\]
And from the data, it is consistent. Hence, Jackie's reading rate is 31 pages per hour.

In 9 hours, Jackie will read:
\[
\text{Pages read by Jackie} = 31 \text{ pages/hour} \times 9 \text{ hours} = 279 \text{ pages}
\]

**Now comparing both:**
- Pages read by Chris after 9 hours: 306 pages
- Pages read by Jackie after 9 hours: 279 pages

Now we will find the difference:
\[
306 - 279 = 27 \text{ pages}
\]

So Chris reads 27 more pages than Jackie.

The correct statement is:
**D. Chris will read 27 more pages than Jackie.**