Answer:
1/2 Hour
Step-by-step explanation:
For this problem, to find the amount of time it takes Alex to walk to school, we simply will need to take the distance he walks, and divide by the speed at which he travels. We can represent this with the following equation:
Distance = Rate * Time
==> Time = Distance / Rate
We are given the Rate = 4 and 1/2 mph
We are given the Distance = 2 and 1/4 miles
Let's convert these givens into the improper fractions to allow for easier conversion.
4 and 1/2 == (4 * 2) + 1 / 2 == 9/2
2 and 1/4 == (4 * 2) + 1 / 4 == 9/4
Rate = 9/2 mph
Distance = 9/4 miles
So we will simply plug these values into that formula:
Time = Distance / Rate
Time = 9/4 miles / 9/2 miles per hour
Time = 9/4 miles * 2/9 hour per mile
Time = 2/4 hour
Time = 1/2 hour
Hence, Alex takes half an hour to walk to school.
Cheers.
