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

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

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New post 29 Mar 2017, 06:02
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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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Re: Water is poured from a full 4-liter bucket into three identical  [#permalink]

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New post 29 Mar 2017, 06:21
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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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New post 29 Mar 2017, 09:05
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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 8-)
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Re: Water is poured from a full 4-liter bucket into three identical  [#permalink]

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New post 29 Mar 2017, 11:16
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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
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Re: Water is poured from a full 4-liter bucket into three identical  [#permalink]

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New post 30 Mar 2017, 06:09
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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

Answer:

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

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New post 31 Mar 2018, 11:00
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Water is poured from a full 4-liter bucket into three identical &nbs [#permalink] 31 Mar 2018, 11:00
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