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Jack drives 95 miles at an average speed of 38 mph. He starts his journey at 7 am. What time does he arrive?

Sagot :

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.