A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with? Choose the correct choice:	A) 8 hrs 45 mins.	B) 9 hrs.	C) 9 hrs 30 mins.	D) 11 hrs 40 mins.	E) 15 hrs 30 mins
The pool was 2/3 full initially.   In 5/3 hrs, it was filled to 6/7 of its capacity.   Therefore, in 5/3 hrs, 6/7 - 2/3 was the amount of volume filled.   So, 5/3 hrs = 6/7 - 2/3 = 4/21   Therefore, for filling the vessel from empty to full, you would require 5/3 * 21/4 = 35/4 = 8 Hrs 45 Mins.   Hence 8 hrs 45 mins.
<result>A</result>
A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?