Question

You and two other friends took turns driving during the trip. You each drove for the following amounts of time:%C2%A0 56 %C2%A0of an hour,%C2%A0 2%C2%A018 %C2%A0hours, and%C2%A0 3%C2%A012 %C2%A0hours. How long did you all spend driving?(2 points) Responses 5%C2%A01124 hours %C2%A0 5%C2%A01124 hours 5%C2%A012 hours %C2%A0 5%C2%A012 hours 6%C2%A014 hours %C2%A0 6%C2%A014 hours 6%C2%A01124 hours

Answer 1

To find the total driving time, we need to convert all the driving times into hours and then sum them.

1. **First driver's time:** 56% of an hour can be converted to hours:
\[
56\% = \frac{56}{100} \text{ hour} = 0.56 \text{ hours}
\]

2. **Second driver's time:** 2 hours and 18 minutes can be converted into hours:
\[
2 \text{ hours} + \frac{18}{60} \text{ hours} = 2 + 0.3 = 2.3 \text{ hours}
\]

3. **Third driver's time:** 3 hours and 12 minutes can be converted into hours:
\[
3 \text{ hours} + \frac{12}{60} \text{ hours} = 3 + 0.2 = 3.2 \text{ hours}
\]

Now, add all the driving times together:
\[
\text{Total driving time} = 0.56 + 2.3 + 3.2
\]

Calculating the total:
\[
0.56 + 2.3 = 2.86
\]
\[
2.86 + 3.2 = 6.06 \text{ hours}
\]

So, the total time spent driving is approximately **6.06 hours**. If rounded, this could be expressed as about **6 hours and 4 minutes**.

However, based on your provided options, the closest response is **6 hours 14 minutes**. If there's rounding involved, **the accurate approach** gives us that the total time driven, rounded to the nearest minute, may not fit precisely into the given options. Given the choices, we might consider the closest feasible rounded option is **6 hours 14 minutes**.

Thus, the best answer from the provided options is:
- **6 11/24 hours** or **6 14 hours** depending on the context and close approximation used.