Question

Sheldon can read 9 pages in 15 minutes. Penny can read 18 pages in 1 hour. Explain how you could use a table or graph to find how much longer it would take Penny to read a 720-page book than Sheldon.The first drop down is:special ratios unequal ratios equivalent ratios The second drop down is :ProductdifferenceSum

Answer 1

• Equivalent ratios

,

• 720 pages

,

• Difference

,

• 20 hours longer

Step-by-step explanation:

• Sheldon can read 9 pages in 15 minutes.

,

• Penny can read 18 pages in 1 hour.

Make a table of equivalent ratios to find how long it takes each to read 720 pages.

For Sheldon

`\begin{gathered} \frac{9\text{ pages}}{15\text{minutes}}=\frac{720\text{ pages}}{x\text{ minutes}} \\ 9x=720*15 \\ x=(720*15)/(9) \\ x=1200\; \text{minutes} \\ x=(1200)/(60)\text{hours} \\ x=20\text{ hours} \end{gathered}`

Sheldon can read 720 pages in 20 hours.

For Penny

`\begin{gathered} \frac{18\text{ pages}}{1\text{ hour}}=\frac{720\text{ pages}}{y\text{ minutes}} \\ 18y=720 \\ y=(720)/(18) \\ y=40\text{ hours} \end{gathered}`

Penny can read 720 pages in 40 hours.

• Then, find the ,difference,.

`40-20=20\text{ hours}`

It would take Penny 20 hours longer to read the book.