QQuestionPhysics
QuestionPhysics
You are driving from your house to your office. Currently, it is 7:10 a.m., and you are 12 miles from your office. If you travel at an average speed of 30 miles per hour, at what time should you arrive at your office?
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Identify the given information
- Average speed: $$30 \text{ miles per hour}
- Current time: 7:10 a.m.
Step 3:: Calculate the time needed to travel to the office
- $$\text{Time} = \frac{12 \text{ miles}}{30 \text{ miles per hour}} = 0.4 \text{ hours}
- Time = Distance ÷ Speed
Step 4:: Convert hours to minutes
- $$0.4 \text{ hours} \times 60 \frac{\text{minutes}}{\text{hour}} = 24 \text{ minutes}
Step 5:: Add travel time to current time
- $$7:10 \text{ a.m.} + 24 \text{ minutes} = 7:34 \text{ a.m.}
- Current time: 7:10 a.m. - Travel time: 24 minutes
Final Answer
You should arrive at your office at 7:34 a.m.
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