A pool which was 3/4 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 from the following options.
A) 8 hrs 45 mins.  B) 9 hrs.  C) 9 hrs 30 mins.  D) 11 hrs 40 mins.  E) 15 hrs 33 mins
The pool was 3/4 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 - 3/4 = 3/28   Therefore, for filling the vessel from empty to full, you would require 5/3 * 28/3 = 35/4 = 15 Hrs 33 Mins.   Hence 15 hrs 33 mins
<result>E</result>
A pool which was 3/4 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?