Answer: Charlotte finished the word search in 16 minutes.
Explanation:
Frank finished the word search in 32 minutes.
Terrence finished a word search in 3/4 the time it took Frank. This means that the time it took Terrence to finish the word search would be
3/4 × 32 = 24 minutes.
Charlotte finished the word search in 2/3 the time it took Terrence. This means that the time it took Charlotte to finish the word search would be
2/3 × 24 = 16 minutes