Dinesh has been keeping track of his time at work over the past month. Answer the question below using the information in the table.

\begin{tabular}{|c|c|c|c|c|c|}
\hline \multicolumn{6}{|c|}{ Dinesh's Time in Hours } \\
\hline & Meetings & Administrative & Project X - Design & Project X - Deliverables & Total Hours Worked \\
\hline Week 1 & [tex]$71 / 4$[/tex] & [tex]$41 / 4$[/tex] & [tex]$231 / 3$[/tex] & 223 & \\
\hline Week 2 & 423 & 247 & [tex]$161 / 3$[/tex] & [tex]$121 / 2$[/tex] & \\
\hline Week 3 & 350 & 383 & 9.33 & 19.33 & \\
\hline Week 4 & 6.17 & 3.40 & 4.20 & 20.80 & \\
\hline
\end{tabular}

How many hours did he work in Week 2?

A. 361114
B. [tex]$358 / 14$[/tex]
C. [tex]$368 / 15$[/tex]
D. [tex]$351 / 14$[/tex]



Answer :

To determine the total number of hours Dinesh worked in Week 2, let's break down the given data and add up all the time spent on various activities:

- Meetings: 423 hours
- Administrative: 247 hours
- Project X - Design: [tex]\( \frac{161}{3} \)[/tex] hours
- Project X - Deliverables: [tex]\( \frac{121}{2} \)[/tex] hours

First, compute the values for the fractions:

- [tex]\( \frac{161}{3} \approx 53.666666666666664 \)[/tex] hours
- [tex]\( \frac{121}{2} = 60.5 \)[/tex] hours

Now, add up all the hours:

[tex]\[ \text{Total hours} = 423 + 247 + 53.666666666666664 + 60.5 = 784.1666666666666 \text{ hours} \][/tex]

Therefore, Dinesh worked a total of 784.1666666666666 hours in Week 2.

There doesn't appear to be a correct answer choice that matches exactly with the calculated total. Therefore, ensure you have the correct answer options provided, or possibly recheck any potential rounding instructions. Based on the precise calculations, none of the choices [tex]\(a, b, c,\)[/tex] or [tex]\(d\)[/tex] matches the provided total hours exactly.