Question

On the morning of a business trip, Maria drove for 3.1 hours at an average rate of 63.8 miles per hour. In the afternoon, she drove for 3.5 hours at an average rate of 59.5 miles per hour. Did she travel farther in the morning or the afternoon?

a) Morning
b) Afternoon
c) Same distance
d) None of these.

Answer 1

Maria travelled farther in the afternoon, covering 208.25 miles compared to 197.78 miles in the morning, by calculating the product of time and rate she travelled in each part of the day.

Step-by-step explanation:

To determine if Maria travelled farther in the morning or the afternoon, we need to calculate the distance travelled in each part of the day using the formula for distance, which is the product of time and rate.

In the morning, Maria drove for 3.1 hours at an average rate of 63.8 miles per hour. To calculate the distance travelled in the morning:

• Distance (morning) = Time (morning) × Rate (morning)
• Distance (morning) = 3.1 hours × 63.8 miles/hour
• Distance (morning) = 197.78 miles

In the afternoon, Maria drove for 3.5 hours at an average rate of 59.5 miles per hour. To calculate the distance travelled in the afternoon:

• Distance (afternoon) = Time (afternoon) × Rate (afternoon)
• Distance (afternoon) = 3.5 hours × 59.5 miles/hour
• Distance (afternoon) = 208.25 miles

Comparing the two distances, 208.25 miles in the afternoon is farther than 197.78 miles in the morning. Therefore, Maria travelled farther in the afternoon.

The correct answer to the question is (b) Afternoon.