To find out how many hours Dinesh worked in Week 1, let's break down the time he spent on each activity and then sum them up. The time for each activity is given by specific fractions which we need to convert to hours.
### Step-by-Step Calculation:
1. Time spent in Meetings (Week 1):
[tex]\[
\frac{71}{4} \text{ hours}
\][/tex]
Which equals to:
[tex]\[
17.75 \text{ hours}
\][/tex]
2. Time spent on Administrative tasks (Week 1):
[tex]\[
\frac{41}{4} \text{ hours}
\][/tex]
Which equals to:
[tex]\[
10.25 \text{ hours}
\][/tex]
3. Time spent on Project X - Design (Week 1):
[tex]\[
\frac{231}{3} \text{ hours}
\][/tex]
Which equals to:
[tex]\[
77.00 \text{ hours}
\][/tex]
4. Time spent on Project X - Deliverables (Week 1):
[tex]\[
\frac{22}{3} \text{ hours}
\][/tex]
Which equals to:
[tex]\[
7.33 \text{ hours} \left(7.\overline{3}\right)
\][/tex]
### Total Hours Worked in Week 1:
Now, we add up all the time spent on each activity:
[tex]\[
17.75 + 10.25 + 77.00 + 7.33 = 112.33 \text{ hours}
\][/tex]
### Conclusion:
Dinesh worked a total of approximately 112.33 hours in Week 1.
Given the options:
a. [tex]\( \frac{375}{14} \)[/tex]
b. [tex]\( \frac{371}{2} \)[/tex]
c. [tex]\( \frac{376}{7} \)[/tex]
d. [tex]\( \frac{361}{2} \)[/tex]
We can convert each option to a decimal to compare:
a. [tex]\( \frac{375}{14} \approx 26.79 \text{ hours}\)[/tex]
b. [tex]\( \frac{371}{2} = 185.5 \text{ hours}\)[/tex]
c. [tex]\( \frac{376}{7} \approx 53.71 \text{ hours}\)[/tex]
d. [tex]\( \frac{361}{2} = 180.5 \text{ hours}\)[/tex]
None of the provided options match the calculated total of 112.33 hours. Thus, none of the provided answers are correct for this specific question.
