To determine what time Jack arrives after starting his journey, we need to follow a few steps:
1. Calculate the time taken to drive the 95 miles:
- Jack drives at an average speed of 38 miles per hour.
- The distance to be covered is 95 miles.
- Time taken can be calculated using the formula:
[tex]\[
\text{Time taken} = \frac{\text{Distance}}{\text{Speed}}
\][/tex]
Substituting the values we get:
[tex]\[
\text{Time taken} = \frac{95 \text{ miles}}{38 \text{ mph}} = 2.5 \text{ hours}
\][/tex]
2. Calculate the hour of arrival:
- Jack starts his journey at 7 a.m.
- To find the arrival time, add the time taken to drive to the start time:
[tex]\[
\text{Arrival time} = \text{Start time} + \text{Time taken}
\][/tex]
Substituting the values we get:
[tex]\[
\text{Arrival time} = 7 \text{ a.m.} + 2.5 \text{ hours} = 9.5 \text{ a.m.}
\][/tex]
3. Convert the decimal part of the arrival time into minutes:
- The decimal part (0.5 hours) needs to be converted to minutes.
- Since 1 hour equals 60 minutes, multiply 0.5 hours by 60:
[tex]\[
0.5 \text{ hours} \times 60 \text{ minutes/hour} = 30 \text{ minutes}
\][/tex]
4. Combine hours and minutes to get the final result:
- Jack's arrival time is 9 hours and 30 minutes, which can be written as 9:30 a.m.
Therefore, Jack arrives at 9:30 a.m.
