To find out how long you all spent driving, we need to convert the driving times into a consistent format (specifically, hours).
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Your driving time: 56 of an hour is equal to 56 minutes. To convert this into hours, we divide by 60:
\[ \frac{56}{60} = \frac{14}{15} \text{ hours} \]
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Friend 1's driving time: 2 18 hours means 2 hours and 18 minutes. We convert the 18 minutes to hours:
\[ 18 \text{ minutes} = \frac{18}{60} = \frac{3}{10} \text{ hours} \] So, Friend 1 drove for: \[ 2 + \frac{3}{10} = 2.3 \text{ hours} \]
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Friend 2's driving time: 3 12 hours means 3 hours and 12 minutes. We convert the 12 minutes to hours:
\[ 12 \text{ minutes} = \frac{12}{60} = \frac{1}{5} \text{ hours} \] So, Friend 2 drove for: \[ 3 + \frac{1}{5} = 3.2 \text{ hours} \]
Now, we can add all the driving times together:
\[ \text{Total driving time} = \frac{14}{15} + 2.3 + 3.2 \]
First, let's convert \( 2.3 \) and \( 3.2 \) into fractions for easier addition:
\[ 2.3 = \frac{23}{10}, \quad 3.2 = \frac{32}{10} \]
Now, we will find a common denominator to add these values. The least common multiple of 15 and 10 is 30.
Converting everything to have a denominator of 30:
\[ \frac{14}{15} = \frac{28}{30}, \quad \frac{23}{10} = \frac{69}{30}, \quad \frac{32}{10} = \frac{96}{30} \]
Adding these together:
\[ \text{Total driving time} = \frac{28}{30} + \frac{69}{30} + \frac{96}{30} \]
Combine the numerators:
\[ \frac{28 + 69 + 96}{30} = \frac{193}{30} \]
To convert this to hours and minutes, we divide to find how many whole hours and what's left:
\[ 193 \div 30 = 6 \text{ R } 13 \]
This means there are 6 whole hours and \( \frac{13}{30} \) of an hour remaining. To convert \( \frac{13}{30} \) to minutes:
\[ \frac{13}{30} \times 60 = 26 \text{ minutes} \]
Thus, the total driving time for you and your friends was:
\[ \underline{6 \text{ hours and } 26 \text{ minutes}} \]
Since the options presented were more specific, the closest match is:
6 1/2 hours or approximately 6.43 hours.
Therefore, the correct answer is:
6 1124 hours (interpreted as 6 hours and 26 minutes).