Questions: Melissa is driving along a highway at a constant speed of 65 miles per hour. How long does it take her to travel 90 miles? Make sure to convert the answer into hours and minutes. An hour and 23 minutes An hour and 18 minutes An hour and 48 minutes An hour and 33 minutes

Solution Steps

To find out how long it takes Melissa to travel 90 miles at a constant speed of 65 miles per hour, we can use the formula: time = distance / speed. This will give us the time in hours. We then convert the fractional part of the hours into minutes to get the final answer in hours and minutes.

To find the time \( t \) it takes to travel a distance \( d \) at a constant speed \( s \), we use the formula: \[ t = \frac{d}{s} \] Substituting the given values \( d = 90 \) miles and \( s = 65 \) miles per hour, we have: \[ t = \frac{90}{65} \approx 1.3846 \text{ hours} \]

Next, we separate the whole hours from the fractional part. The whole number of hours is: \[ \text{Hours} = \lfloor 1.3846 \rfloor = 1 \] To find the minutes, we calculate the fractional part: \[ \text{Fractional part} = 1.3846 - 1 = 0.3846 \] Now, we convert this fractional part into minutes: \[ \text{Minutes} = 0.3846 \times 60 \approx 23.076 \text{ minutes} \approx 23 \text{ minutes} \]

Final Answer