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M04-36

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Math Expert
Joined: 02 Sep 2009
Posts: 50623

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15 Sep 2014, 23:24
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Difficulty:

55% (hard)

Question Stats:

66% (01:32) correct 34% (01:44) wrong based on 151 sessions

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One fisherman was telling his friends that he caught a fish that had a 60 feet long head and a tail which was equal to the length of the head plus half the length of the body. If the body was half the length of the whole fish, what is the length of the fish?

A. 120
B. 200
C. 240
D. 400
E. 480

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Math Expert
Joined: 02 Sep 2009
Posts: 50623

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15 Sep 2014, 23:24
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Official Solution:

One fisherman was telling his friends that he caught a fish that had a 60 feet long head and a tail which was equal to the length of the head plus half the length of the body. If the body was half the length of the whole fish, what is the length of the fish?

A. 120
B. 200
C. 240
D. 400
E. 480

The fish has three parts: the head, body and tail: $$\text{head}+\text{body}+\text{tail}=\text{total length}$$;

Say the length of the body is $$b$$.

Now, since the body was half the size of the whole fish, then $$\text{total length}=2b$$;

Next, since its tail equals to the length of the head plus half the length of the body then $$\text{tail}=60+0.5b$$;

So we have that:

$$\text{head}+\text{body}+\text{tail}=\text{total length}$$;

$$60+b+(60+0.5b)=2b$$;

$$b=240$$;

$$\text{total length}=2b=480$$.

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Joined: 26 Feb 2018
Posts: 53
Location: India
GMAT 1: 560 Q41 V27
WE: Web Development (Computer Software)

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22 Jun 2018, 10:38
I think this is a high-quality question and I agree with explanation.
Intern
Joined: 08 Mar 2018
Posts: 3

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23 Oct 2018, 07:57
Bunuel
The Question says "60 feet long head and a tail : Length of the head + tail = 60 which is equals to Head + 1/2 Body
here: can you please explain how you got Tail= 60 + 0.5body
Math Expert
Joined: 02 Sep 2009
Posts: 50623

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23 Oct 2018, 19:49
namanjain555 wrote:
Bunuel
The Question says "60 feet long head and a tail : Length of the head + tail = 60 which is equals to Head + 1/2 Body
here: can you please explain how you got Tail= 60 + 0.5body

The question says that tail equals to the length of the head plus half the length of the body then $$\text{tail}=60+0.5b$$;
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Re: M04-36 &nbs [#permalink] 23 Oct 2018, 19:49
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