Step 1: Identifying Direct Speech.
The given sentence is in direct speech. It is a statement by Rita regarding her ability to do some work. The reporting verb here is "said," and the sentence is in present tense with a modal verb "can."
Step 2: Converting to Indirect Speech.
When converting to indirect speech, we remove the quotation marks and change the reporting verb "said" to "said that." Additionally, the modal verb "can" is typically changed to "could" in indirect speech to match the past tense structure.
Step 3: Converting the Sentence.
Indirect Speech: Rita said that she could do this work.
Final Answer: \[ \boxed{\text{Rita said that she could do this work.}} \]