Kara drove home from college at an average speed of 65 miles per hour. It took her 4.5 hours to get home. How far from her home is Kara's college?

Question

read and ______ the problem

Distance = ______ x time

the appropriate operation for this problem will be ______

the answer is 292.5 ______

______ to check

Answer 1

Let's break down the steps to solve the problem:

1. Read and understand the problem: Kara drove home from college at an average speed of 65 miles per hour and it took her 4.5 hours to get home. We want to find out how far her college is from her home.

2. Distance formula: The formula we will use is: \[ \text{Distance} = \text{Speed} \times \text{Time} \]

3. Identify the given values:

   • Speed = 65 miles per hour
   • Time = 4.5 hours

4. The appropriate operation for this problem will be multiplication.

5. Using the formula: \[ \text{Distance} = 65 , \text{miles/hour} \times 4.5 , \text{hours} = 292.5 , \text{miles} \]

6. The answer is 292.5 miles.

7. Steps to check: To check, we can reverse the calculation. Divide the total distance by the speed to see if we get the time: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{292.5 , \text{miles}}{65 , \text{miles/hour}} = 4.5 , \text{hours} \] This confirms that our calculations are correct.

So, putting it all together:

• Read and understand the problem.
• Distance = Speed x Time.
• The appropriate operation for this problem will be multiplication.
• The answer is 292.5 miles.
• Steps to check: Verify using the distance formula in reverse.