Question

Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go?

A) 30 miles
B) 90 miles
C) 150 miles
D) 180 miles

Answer 1

Amelia's rate of speed is 30 mph. If she drives for 3 hours at this rate, she would cover a total distance of 90 miles. Hence, the answer is 90 miles.

Step-by-step explanation:

The student's question is about calculating the total distance Amelia would travel if she drove three hours at the same rate she drove a shorter distance. We're given that Amelia drives 10 miles in 20 minutes. To find the distance she would travel in three hours, we'll perform a few steps to solve the problem.

1. First, convert 20 minutes into hours to help compare it to the 3 hours of driving. Since there are 60 minutes in an hour, we divide 20 minutes by 60 to get approximately 0.333 hours.
2. Next, we'll calculate the rate of Amelia's speed in miles per hour (mph) by dividing the distance by the time in hours.
3. After finding the rate, we multiply the rate by 3 hours to find the total distance traveled.

Let's solve: Amelia's rate of speed is 10 miles / 0.333 hours = 30 mph. If she drove for 3 hours at this rate, she would have traveled 30 mph * 3 hours = 90 miles.

So, the correct answer is B) 90 miles.