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Two jars that are both half full of liquid are poured into an empty

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Two jars that are both half full of liquid are poured into an empty  [#permalink]

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New post 31 Oct 2018, 15:05
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Two jars that are both half full of liquid are poured into an empty bucket. If the bucket has three times the capacity of each jar, what portion of the bucket is now full?

A. 1 /6

B. 1/3

C. 1/ 2

D. 2 /3

E. 3/ 2

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Re: Two jars that are both half full of liquid are poured into an empty  [#permalink]

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New post 31 Oct 2018, 23:39
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Let each bucket has capacity 1 liter. Now the bucket has a capacity of 3 times EACH jar. i.e, the bucket capacity is 3 liters. The question says bucket is of 3 times capacity of each jar but not 3 times the capacity of both the jars.

Id each jar is half filled, a total of 1 liter is present in both the jars combined. Now 1 liter is filled in the bucket out of 3 liters. So bucket is \(\frac{1}{3}\)rd filled. I choose option B.

OPTION : B
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Two jars that are both half full of liquid are poured into an empty  [#permalink]

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New post Updated on: 01 Nov 2018, 19:20
Baten80 wrote:
Two jars that are both half full of liquid are poured into an empty bucket. If the bucket has three times the capacity of each jar, what portion of the bucket is now full?

A. 1 /6

B. 1/3

C. 1/ 2

D. 2 /3

E. 3/ 2



Let the capacity of the two jars be 100 units each.

Now, the capacity of the bucket=3*100=300 unit

Amount of liquid poured into the bucket=\(\frac{1}{2}(100+100)=100\) unit=Amount of liquid in the bucket

The portion of the bucket that is now full=\(\frac{100}{300}=\frac{1}{3}\)

Ans. (B)
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Originally posted by PKN on 31 Oct 2018, 19:20.
Last edited by PKN on 01 Nov 2018, 19:20, edited 2 times in total.
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Re: Two jars that are both half full of liquid are poured into an empty  [#permalink]

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New post 31 Oct 2018, 22:51
Assume the capacity of first 2 jars are 1 litre each & they are half full.
That means = 1/2 litre in each jar and a total of 1 litre combined.

New bucket = 3 times the capacity of each jar
So the capacity is 6 litres

The new bucket will be filled to 1/6 of its capacity after pouring that liquid from the jars.

IMO A
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Re: Two jars that are both half full of liquid are poured into an empty  [#permalink]

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New post 31 Oct 2018, 23:48
[quote="Baten80"]Two jars that are both half full of liquid are poured into an empty bucket. If the bucket has three times the capacity of each jar, what portion of the bucket is now full?

A. 1 /6

B. 1/3

C. 1/ 2

D. 2 /3

E. 3/ 2

Let's the capacity of each jar is X,each has x/2 quantity.
Total quantity = X
Capacity of B = 3X
After pouring Bucket would be X/3X = 1/3 filled

Choice B

Thanks




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Re: Two jars that are both half full of liquid are poured into an empty  [#permalink]

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New post 18 Nov 2018, 06:36
PKN wrote:
Baten80 wrote:
Two jars that are both half full of liquid are poured into an empty bucket. If the bucket has three times the capacity of each jar, what portion of the bucket is now full?

A. 1 /6

B. 1/3

C. 1/ 2

D. 2 /3

E. 3/ 2



Let the capacity of the two jars be 100 units each.




Now, the capacity of the bucket=3*100=300 unit

Amount of liquid poured into the bucket=\(\frac{1}{2}(100+100)=100\) unit=Amount of liquid in the bucket

The portion of the bucket that is now full=\(\frac{100}{300}=\frac{1}{3}\)

Ans. (B)



Why do we assume that both the jars are identical here ?
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Re: Two jars that are both half full of liquid are poured into an empty  [#permalink]

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New post 18 Nov 2018, 06:38
eswarchethu135 wrote:
Let each bucket has capacity 1 liter. Now the bucket has a capacity of 3 times EACH jar. i.e, the bucket capacity is 3 liters. The question says bucket is of 3 times capacity of each jar but not 3 times the capacity of both the jars.

Id each jar is half filled, a total of 1 liter is present in both the jars combined. Now 1 liter is filled in the bucket out of 3 liters. So bucket is \(\frac{1}{3}\)rd filled. I choose option B.

OPTION : B




Why do we assume that both the jars are identical here ?
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Re: Two jars that are both half full of liquid are poured into an empty   [#permalink] 18 Nov 2018, 06:38
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