Verified Answer :

Dominic: \(2\frac{3}{4}\)
Rachel : \(1 \frac{1}{3}\) as long
How long Rachel worked:

\(2\frac{3}{4} = \frac{11}{4}\) 
\(1 \frac{1}{3}\) = \(\frac{4}{3}\)

\(\frac{11}{4}\) × \(\frac{4}{3}\)
\(\frac{44}{12}\) = \(3 \frac{2}{3}\)

The answer is C. \(3\frac{2}{3}\)