The table shows the distances and times that two dogs ran.

Question

A 3-column table with 2 rows. Column 1 is labeled Dog with entries Fido, Ruff. Column 2 is labeled Distance (feet) with entries 54, 64. Column 3 is labeled Time (seconds) with entries 18, 16.

Which statements are true about the data shown in the table? Check all that apply.
Fido ran faster than Ruff.
Ruff ran faster than Fido.
The dogs ran at the same speed.
Fido’s speed was 3 feet per second.
Ruff’s speed was 4 feet per second.

Answer 1

To determine the speeds of Fido and Ruff, we can use the formula for speed, which is:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

Calculating Fido's speed:

• Distance = 54 feet
• Time = 18 seconds

\[ \text{Speed of Fido} = \frac{54 \text{ feet}}{18 \text{ seconds}} = 3 \text{ feet per second} \]

Calculating Ruff's speed:

• Distance = 64 feet
• Time = 16 seconds

\[ \text{Speed of Ruff} = \frac{64 \text{ feet}}{16 \text{ seconds}} = 4 \text{ feet per second} \]

Now, we can analyze the statements:

1. Fido ran faster than Ruff.
   This statement is false. Fido's speed is 3 feet per second, while Ruff's is 4 feet per second.

2. Ruff ran faster than Fido.
   This statement is true. Ruff's speed is greater than Fido's.

3. The dogs ran at the same speed.
   This statement is false. Fido and Ruff have different speeds.

4. Fido’s speed was 3 feet per second.
   This statement is true. As calculated, Fido's speed is 3 feet per second.

5. Ruff’s speed was 4 feet per second.
   This statement is true. We calculated that Ruff's speed is 4 feet per second.

True statements:

• Ruff ran faster than Fido.
• Fido’s speed was 3 feet per second.
• Ruff’s speed was 4 feet per second.