In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true?
I. c < t < h
II. 0 < t < h
III. (c/2) < t < (h/2) Choose the correct choice from the following
A) a) I only	B) b) II only	C) c) III only	D) d) I and II	E) e) II and III
I picked numbers for this problem   C = 2 hours   H = 3 hours   C&lt;H   2 people working together formula is   1/C + 1/H = 1/t   1/2 + 1/3 = 1/t   t = 6/5= 
<gadget id="calculator">6/5</gadget>
<output>6/5 = around 1.2</output>
1.2   Substitute the values of C, H and t in the 3 choices given below   Only 2, 3 are valid.Therefore e) II and III is the best answer
<result>E</result>
In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true?
I. c < t < h
II. 0 < t < h
III. (c/2) < t < (h/2)