Terrence finished a word search in 3/4 the time it took Frank. Charlotte finished the word search in 2/3 the time it took Terrence. Frank finished the word search in 32minutes. How long did it take Charlotte to finish the word search??

Let  x---------------- > Terrence time to finish a word search y----------------- > Charlotte time to finish a word search z----------------- >  Frank  time to finish a word search   we have that  x=(3/4)*z y=(2/3)*x z=32 therefore x=(3/4)*z----------- > (3/4)*32= 24 min-----> Terrence time to finish a word search y=(2/3)*x------------ > (2/3)*24=16 min-----> Charlotte time to finish a word search  The answer is 16 minutes