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# Water is poured from a full 4-liter bucket into three identical

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CEO
Joined: 12 Sep 2015
Posts: 3846
Water is poured from a full 4-liter bucket into three identical  [#permalink]

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29 Mar 2017, 07:02
Top Contributor
5
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Difficulty:

55% (hard)

Question Stats:

60% (01:57) correct 40% (01:53) wrong based on 152 sessions

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Water is poured from a full 4-liter bucket into three identical glasses until all four containers (the one bucket and the three glasses) are each 2/5 full. What is the capacity, in liters, of one glass?

A) 4/5
B) 3/2
C) 2
D) 12/5
E) 5/2

*Kudos for all correct solutions

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Joined: 05 Dec 2016
Posts: 3
Re: Water is poured from a full 4-liter bucket into three identical  [#permalink]

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29 Mar 2017, 07:21
1
Let x=2/5 of volume of one glass (v) V= ??

3/5 of 4lt bucket is distributed in 3 identical glass

3x = (3/5)*4 Therefor x= 4/5 lts ( 2/5)*v=4/5 therefore v=2 lts
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Water is poured from a full 4-liter bucket into three identical  [#permalink]

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29 Mar 2017, 10:05
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1
GMATPrepNow wrote:
Water is poured from a full 4-liter bucket into three identical glasses until all four containers (the one bucket and the three glasses) are each 2/5 full. What is the capacity, in liters, of one glass?

A) 4/5
B) 3/2
C) 2
D) 12/5
E) 5/2

*Kudos for all correct solutions

Method I

Since bucket's capacity is 4 ltr. and it must be 2/5th full

2/5th of 4 ltr. = 8/5

Remaining water is divided into 3 glasses Therefore,
4 - 8/5 = 12/5 is divided into 3 glasses equally

Each glass contains (12/5)/3 = 4/5 ltr.

Since each of the 3 glasses are filled till 2/5th of its capacity

capacity * 2/5 = 4/5
capacity = 2 ltr.

Method II : Percentages

Since after the transfer of water the bucket must be 2/5th full i.e. 40% = 0.4*4 = 1.6 ltr
Remaining water i.e. 4-1.6 = 2.4 ltr must be divided into 3 glasses equally
Each glass will contain 2.4/3 = 0.8 ltr
Since each glass is 40% full we have
0.4*capacity = 0.8
capacity = 2ltr

Hence option C is correct
Hit Kudos if you liked it
VP
Joined: 07 Dec 2014
Posts: 1206
Re: Water is poured from a full 4-liter bucket into three identical  [#permalink]

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29 Mar 2017, 12:16
1
GMATPrepNow wrote:
Water is poured from a full 4-liter bucket into three identical glasses until all four containers (the one bucket and the three glasses) are each 2/5 full. What is the capacity, in liters, of one glass?

A) 4/5
B) 3/2
C) 2
D) 12/5
E) 5/2

*Kudos for all correct solutions

let x=glass capacity
(3/5*4)/3=4/5 liter in each glass
4/5=2x/5
x=2 liters
CEO
Joined: 12 Sep 2015
Posts: 3846
Re: Water is poured from a full 4-liter bucket into three identical  [#permalink]

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30 Mar 2017, 07:09
Top Contributor
GMATPrepNow wrote:
Water is poured from a full 4-liter bucket into three identical glasses until all four containers (the one bucket and the three glasses) are each 2/5 full. What is the capacity, in liters, of one glass?

A) 4/5
B) 3/2
C) 2
D) 12/5
E) 5/2

Water is poured from the 4-liter bucket until the bucket is 2/5 full.
This means that 3/5 of the water was POURED OUT
In other words: volume of water POURED OUT = 3/5 of 4 liters = (3/5)(4) = 12/5 liters

Those 12/5 liters of water are poured into 3 identical glasses, so ...
... the volume of water poured into ONE GLASS = 1/3 of 12/5 = (1/3)(12/5) = 12/15 = 4/5 liters
In other words, each glass contains 4/5 of water.

Let C = the capacity of one glass
Since each glass is only 2/5 full, we can write: 2/5 of C = 4/5 liters of water
Rewrite as: (2/5)C = 4/5
Solve: C = (4/5)/(2/5) = (4/5)(5/2) = 2

Cheers,
Brent
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Re: Water is poured from a full 4-liter bucket into three identical  [#permalink]

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31 Mar 2018, 12:00
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Re: Water is poured from a full 4-liter bucket into three identical   [#permalink] 31 Mar 2018, 12:00
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