Questions: 2. HWY 1 has a posted speed limit of 55 mph and you know that you VW bus does is not the best at cornering on these winding roads so you travel at only an average of 50 mph . It's ok you're not in a hurry. Assuming an average speed of 50 mph , how long will it take you (hours and minutes) to arrive in San Diego which is 460 miles away? Show your calculations. All numeric values should be accompanied by a unit and organized in a single linear calculation.

Solution Steps

To determine the time it will take to travel 460 miles at an average speed of 50 mph, we can use the formula:

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

We will then convert the time from hours to hours and minutes.

To determine the time it will take to travel 460 miles at an average speed of 50 mph, we use the formula:

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

Substituting the given values:

\[ \text{Time} = \frac{460 \text{ miles}}{50 \text{ mph}} = 9.2 \text{ hours} \]

We need to convert 9.2 hours into hours and minutes.

First, extract the whole number part for hours:

\[ \text{Hours} = \lfloor 9.2 \rfloor = 9 \text{ hours} \]

Next, calculate the remaining fraction of the hour and convert it to minutes:

\[ \text{Minutes} = (9.2 - 9) \times 60 = 0.2 \times 60 = 12 \text{ minutes} \]

Final Answer