Terrence finished a word search in 3/4 the time it took frank. charlotte finished the word search in2/3 the time it took terrence. frank finished the word search in 32 min. how long did it take charlotte to finish the word search

Yeah i think the answer could be ;

     2/3 of the time it took Terrence to finish the word search

   time for Terrence; 3/4*32 = 24 min

   time for Charlotte;  2/3*24= 16 min
  
  therefore it took Charlotte 16 min to finish the wordthx

I think its 16 I am pretty sure but not certain