If Cassie works at a constant rate, will Cassie have enough time to bake four pies?
(1) If Cassie had one-third as much time, she would be able to bake one pie.
(2) Cassie can fit three pies in her oven at one time.
Let's look at each statement individually and then at both of them together (if required):
Statement 1: If Cassie had one-third as much time, she would be able to bake one pie.
Let Cassie have T time to bake the pies. Now, for one pie, she requires T/3 time, thus in T time, she would be able to bake a total of 3 pies. Thus, she does not have enough time to bake four pies.
Hence, we can uniquely determine the answer by using Statement 1 alone.
Now, let's check for Statement 2:
Statement 2: Cassie can fit three pies in her oven at one time.
Now, this statement does not tell anything about the time Cassie takes in baking the pies.
Hence, Statement 2 is insufficient alone to determine the answer.
Thus, the correct answer is Option A - Statement (1) alone is sufficient, but Statement (2) alone is not sufficient.