To determine which statements about the total traveling time from Colin's house to the hotel are true, let's first break down the time spent in each segment of the journey:
- Driving to the airport: 45 minutes
- Waiting at the airport before the flight: 90 minutes
- Flight duration: 70 minutes
- Time spent gathering luggage: 20 minutes
- Driving to the hotel: 35 minutes
Now, let's clarify the total time spent traveling:
- Total time = 45 minutes (driving to airport) + 90 minutes (waiting) + 70 minutes (in the air) + 20 minutes (gathering luggage) + 35 minutes (driving to hotel)
Now, addressing each of the given statements:
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The numbers can be added in any order.
- This statement is true due to the commutative property of addition, which states that the order of adding numbers does not affect the sum.
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The number 45 must be the first addend, and 35 must be the last addend.
- This statement is false. While 45 represents the time spent driving initially, there’s no mathematical requirement that mandates its placement as the first number. Similarly, 35, representing the final driving time to the hotel, does not need to be the last number in order to sum correctly.
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The numbers must be added in the order 45, 90, 70, 20, and 35.
- This statement is false. While this is one possible way to add the times, it is not the only way. The numbers can be rearranged without altering the total.
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The numbers must be added in either the order 45, 90, 70, 20, and 35 or the order 35, 20, 70, 90, and 45.
- This statement is false. Similar to the previous analysis, the sum remains the same regardless of the order in which the addends are arranged, meaning that neither of these specific orders is required.
In conclusion, the only statement that is true regarding the total time Colin spent traveling from his house to the hotel is "The numbers can be added in any order."
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