Two ships, Maid of the Mist and Queen Elizabeth II, sailed across the

Question

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.

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Official Answer

D

spc11 · Answer

D

From 1 we know that there was extra water left and so it's the first ship that still had water left.

From 2, we know that no water was left on that ship, hence it was the other ship that came back with water.

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MikeHelios · Answer

option D

I initially answered A as i missed the term 'only one ship had water remaining'

st1. says that Mist carried 25 people and the duration was double the expected so half of its water is finished and still other half left.

st2. says that Queen carried 200 people and duration was 5 times the expected so all its water was over. which means the other ship is the one which had excess water.

AKY13 · Answer

1) The ship carried 4 times(100/25) the water requirement & its journey increased by 1.5 times only. Hence it had water after the journey. 
2) The ship carried 5 times(1000/200) the water requirement & its journey increased by 5 times. Hence it didn't have any water remaining. The other ship had water remaining.

exc4libur · Answer

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)

SameerJain2705 · Answer

Statement 1
Let's say the journey took 100 days and water was for 100 people 
Ship 1 (MM) - 25 people 
Journey went from 100 days to 150 days (50%) but people stayed the same i.e. 25
if 100 people can sustain a journey of 100 days i.e. 1 bottle per person 
can 25 people sustain a journey of 150 days. 
Obviously, yes
Sufficient to say Ship will have extra water

Statment 2 
Ship 2 (QE2) 
Let's say the journey took 100 days and water was for 1000 people 
Journey went from 100 days to 700 days (500%) but people stayed the same i.e. 200
if 1000 can sustain a journey for 100 days i.e. 1 bottle per person 
Can 200 people sustain journey for 700 days ?
No 
Sufficient to say other ship was the one with extra water.

I hope this explanation helps. Please provide suggestion if any flaw in logic or better way to display same information

gotkimherela · Answer

Bunuel  does this require an assumption that the water consumption of each person is equal and linear? are we still able to get the right answer without the assumption?

Bunuel · Answer

Yes, it assumes that each person drinks the same amount of water each day.

Stella5200 · Answer

Way I thought of it:

The extended amount of time can be thought of another ship with those many extra people.

(1) For maid: 25 pax, duration extended 50% longer...

so 25 x 1.5 =37.5 37.5 (38 people required for this journey, or for the total actual journey water consumption is = 38 people)

They have enough water onboard for 100 people.  Sufficient

Given A is Suff, down to A or D

(2) 200 people for org duration, actual duration was 500% of projected meaning 5 x 200 was the actual water consumption which is 1,000.

Question asks for only one ship comes back with water which one. In this all water is used up, meaning the other ship comes back with water.  Sufficient

Answer: D

Two ships, Maid of the Mist and Queen Elizabeth II, sailed across the

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Two ships, Maid of the Mist and Queen Elizabeth II, sailed across the

Prep Toolkit

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