To determine how much time Audrey spends making business calls in a five-day work week, let's break down the problem step by step.
1. Find the average minutes per day:
Audrey makes an average of 148 minutes of business calls every 2 days. To find out how many minutes she makes in one day, we simply divide the total minutes by the number of days:
[tex]\[
\text{Average minutes per day} = \frac{148 \text{ minutes}}{2 \text{ days}} = 74 \text{ minutes per day}
\][/tex]
2. Calculate the total minutes in a 5-day work week:
Audrey works for 5 days each week. To find out the total number of minutes she spends on calls in a 5-day work week, we multiply the average minutes per day by the number of days:
[tex]\[
\text{Total minutes in a 5-day work week} = 74 \text{ minutes/day} \times 5 \text{ days} = 370 \text{ minutes}
\][/tex]
3. Convert total minutes to hours and minutes:
Next, we convert 370 minutes into hours and minutes. Since there are 60 minutes in an hour, we perform the following calculations:
[tex]\[
\text{Hours} = \frac{370 \text{ minutes}}{60 \text{ minutes/hour}} = 6 \text{ hours} \, \text{and the remainder in minutes}
\][/tex]
To find the remaining minutes, we calculate:
[tex]\[
\text{Minutes} = 370 \text{ minutes} \mod 60 = 10 \text{ minutes}
\][/tex]
Therefore, the total time Audrey spends making business calls in a five-day work week is 6 hours and 10 minutes.
Given the options:
A. 12 hours 20 minutes
B. 6 hours 10 minutes
C. 5 hours 50 minutes
D. 4 hours 56 minutes
E. 2 hours 28 minutes
The correct answer is:
B. 6 hours 10 minutes
