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?

Distance = 65 mph (_____H)
______ to check the solution

3 answers

To find the distance from Kara's college to her home, you can use the formula for distance:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

Given:

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

Now, let's calculate the distance:

\[ \text{Distance} = 65 , \text{mph} \times 4.5 , \text{h} \]

Calculating that:

\[ \text{Distance} = 65 \times 4.5 = 292.5 , \text{miles} \]

So Kara's college is 292.5 miles from her home.

To check the solution, you can reverse the calculation:

  1. Take the distance (292.5 miles) and divide by the speed (65 mph) to see if you get back the time (which should be 4.5 hours).

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{292.5 , \text{miles}}{65 , \text{mph}} = 4.5 , \text{hours} \]

Since the calculations check out, the distance from Kara's college to her home is indeed 292.5 miles.

what's the answer to these questions?

Distance = 65 mph (_____H)
______ to check the solution

It seems like you're asking for specific entries to fill in the blanks of the provided equations or statements. Here’s how you can complete those.

  1. First Blank for Distance Calculation: \[ \text{Distance} = 65 , \text{mph} \times (4.5 , \text{H}) \]

    The blank to fill in for "H" (which represents hours) would be 4.5.

  2. Second Blank to Check the Solution:

    • To check the solution, you can say: \[ \text{Distance} = 292.5 , \text{miles} \] or you could write: \[ \text{Check: Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{292.5 , \text{miles}}{65 , \text{mph}} = 4.5 , \text{hours} \]

    So, the blank could be filled with any of these phrases or numbers to check the solution:

    • "Check the calculation"
    • "Verify the results"
    • "Time = 4.5 hours"

In summary:

  1. First blank to fill: 4.5
  2. Second blank could be: "Check the calculation" or simply fill it with the time "4.5 hours" if you want to express the verification done.