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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?

read and ______ the problem

Distance = ______ x time

the appropriate operation for this problem will be ______

the answer is 292.5 ______

______ to check

11 answers

Let's read and analyze the problem step by step.

  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 need to determine the distance from her college to her home.

  2. Distance Formula: Distance = Speed x Time

  3. Finding the Appropriate Operation: The appropriate operation for this problem is multiplication.

  4. Calculation of Distance: \[ \text{Distance} = 65 \text{ miles/hour} \times 4.5 \text{ hours} = 292.5 \text{ miles} \]

  5. Final Statement: The answer is 292.5 miles.

  6. Method to Check: To check, we can divide the distance by the speed to ensure that it gives us 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 calculation is correct.

So the completed statement would look like this:

Read and understand the problem.

Distance = Speed x Time

The appropriate operation for this problem will be multiplication.

The answer is 292.5 miles.

Check by dividing the distance by speed to verify time.

What is the distance

The distance from Kara's college to her home, calculated using the formula Distance = Speed x Time, is:

\[ \text{Distance} = 65 \text{ miles/hour} \times 4.5 \text{ hours} = 292.5 \text{ miles} \]

Therefore, the distance is 292.5 miles.

______ to check To check the solution

To check the solution, you can follow these steps:

  1. Use the Distance Formula: Recall that distance can be calculated using the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \]

  2. Plug in the Known Values: You already have the distance calculated as 292.5 miles, the speed as 65 miles per hour, and the time as 4.5 hours.

  3. Calculate the Time: To verify the solution, use the distance and speed to find the time: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] \[ \text{Time} = \frac{292.5 \text{ miles}}{65 \text{ miles/hour}} = 4.5 \text{ hours} \]

  4. Comparison: Since this calculated time (4.5 hours) matches the time given in the original problem, it confirms that the solution is correct.

Therefore, you can state: To check the solution, we calculated the time taken using the distance and speed, and it matched the original given time of 4.5 hours.

Fill in the blank

Sure! Here’s the completed statement with the blanks filled in:

To check the solution:

  1. Use the distance formula: Recall that distance can be calculated using the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \]

  2. Plug in the known values: You already have the distance calculated as 292.5 miles, the speed as 65 miles per hour, and the time as 4.5 hours.

  3. Calculate the time: Use the distance and speed to find the time: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] \[ \text{Time} = \frac{292.5 \text{ miles}}{65 \text{ miles/hour}} = 4.5 \text{ hours} \]

  4. Comparison: Since this calculated time (4.5 hours) matches the time given in the original problem, it confirms that the solution is correct.

So, filling in the original series of blanks with the check phrase:

To check the solution, we calculated the time taken using the distance and speed, and it matched the original given time of 4.5 hours.

______ to check To check the solution
It’s only one word

Apologies for the misunderstanding! The one-word fill-in for your statement would be "Calculate".

So the completed phrase would read:

Calculate to check.

To check the solution.

Distance = 65 mph (_____ h)

To complete the equation with the correct expression for time, you can fill in the blank with "4.5".

So, the completed expression would read:

Distance = 65 mph (4.5 h).