Question

By the end of the day, you have determined that you spent 34 of an hour waiting in a roller coaster line, 1 15 hours waiting in a water ride line, and 23 of an hour waiting in a theater show line. How many hours did you spend waiting in line?(2 points) Responses 1 3760 hours 1 3760 hours 2 3760 hours 2 3760 hours 2 12 hours 2 12 hours 3 3340 hours

Answer 1

To calculate the total time spent waiting in line, let's first convert the waiting times into hours.

1. **Roller Coaster Line**: \( \frac{3}{4} \) hours (34 of an hour) is equal to 0.75 hours.
2. **Water Ride Line**: \( 1 \frac{1}{5} \) hours can be converted to improper fraction:
\( 1 \frac{1}{5} = \frac{6}{5} \) hours, which is 1.2 hours.
3. **Theater Show Line**: \( \frac{2}{3} \) hours.

Now, we can add these times together:

\[
0.75 + 1.2 + \frac{2}{3}
\]

First, let's convert \( \frac{2}{3} \) to a decimal:

\[
\frac{2}{3} \approx 0.6667
\]

Now adding:

\[
0.75 + 1.2 + 0.6667 \approx 0.75 + 1.2 = 1.95
\]
\[
1.95 + 0.6667 \approx 2.6167
\]

Rounding to two decimal places, we find:

\[
\text{Total time spent waiting in line} \approx 2.62 \text{ hours}
\]

However, looking at the options you provided:

- 1: 3.760 hours
- 2: 3.760 hours
- 2: 12 hours
- 3: 3340 hours

Since none of these match with 2.62 hours, it’s possible the responses you provided may contain an error, or the original waiting time data might have required a different interpretation. Please double-check the original wait times for accuracy.