Question

if joe drives 30 mph for 0.5 hours and then 80 mph for 2 hours, then how far did he drive?

• 110 miles
• 160 miles
• 175 miles
• 190 miles

Explanation:

Identify the given values and formula

Using the Unit Rates and Proportional Reasoning knowledge points

$$
LATEXBLOCK0
$$

Calculate the distance for the first part

Using the Proportional Reasoning knowledge point

$$ d_1 = 30\text{ mph} \times 0.5\text{ hours} = 15\text{ miles} $$

Calculate the distance for the second part

Using the Proportional Reasoning knowledge point

$$ d_2 = 80\text{ mph} \times 2\text{ hours} = 160\text{ miles} $$

Calculate the total distance driven

We sum the distances from both parts to find the total distance.

$$ d_{\text{total}} = d_1 + d_2 = 15\text{ miles} + 160\text{ miles} = 175\text{ miles} $$

Answer:

• 110 miles
• 160 miles
• 175 miles (Correct answer)
• 190 miles