Bunuel wrote:
Two ships, Maid of the Mist and Queen Elizabeth II, sailed across the Atlantic by the same route. Each ship project an expected duration for the journey and set rations for drinking water accordingly. The Maid of the Mist carried exactly enough drinking water to last 100 people for the projected duration, and the Queen Elizabeth II carried exactly enough drinking water to last 1,000 people for the projected duration. Only one of the ships completed its journey with drinking water remaining. Which ship was this?
(1) 25 people sailed aboard Maid of the Mist, whose journey lasted 50% longer than exacted.
(2) Queen Elizabeth II carried 200 people, and the duration of its journey was 500% of that projected.
rule: Direct Relation x=Ky
given: maid carried 100 for some duration p, and queen carried 1000 for some duration q
(1) 25 people sailed aboard Maid of the Mist, whose journey lasted 50% longer than exacted: sufic.
100p=1.5py… y=100/1.5=66.66, so for 1.5 times its expected duration, at most 66 people would have enough water;
since 25 is less than 66 people, then there must have remained some water in the Mist, sufic.
(2) Queen Elizabeth II carried 200 people, and the duration of its journey was 500% of that projected: sufic.
1000q=5qy… y=200, so for 5 times its expected duration, at most 200 people would have enough water;
so if no water remained for the Queen, then the answer is the Mist, sufic.
Answer (D)