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Mark is traveling to Germany. It takes him 1 1/2 hours to drive to the airport, and he then waits 2 3/4 hours before boarding his flight. The flight itself takes 2 1/3 hours. How long has Mark spent traveling to Germany?

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Final answer:

Mark has spent a total of 6 hours and 35 minutes traveling to Germany, after converting all time segments to minutes and adding them together.

Step-by-step explanation:

Calculating Total Travel Time

First, convert all the times to minutes to make it easier to add them together. There are 60 minutes in an hour, so 1 1/2 hours is 90 minutes and 2 1/3 hours is 140 minutes. Also, 2 3/4 hours is equal to 165 minutes. Now, add all these times together:

Drive to the airport: 90 minutes

Wait before boarding: 165 minutes

Flight to Germany: 140 minutes

Summing the minutes gives us:

90 + 165 + 140 = 395 minutes in total

Now, convert the total minutes back to hours and minutes. There are 60 minutes in an hour, so:

395 minutes − 360 minutes (which is 6 hours) = 35 minutes remaining

Adding 6 hours back to the remaining minutes gives us:

Mark has spent 6 hours and 35 minutes traveling to Germany.

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