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