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# At the Marseille port, a small cargo ship is loaded in 2.5

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Intern
Joined: 26 Aug 2013
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At the Marseille port, a small cargo ship is loaded in 2.5 [#permalink]

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29 Aug 2013, 09:00
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Difficulty:

45% (medium)

Question Stats:

64% (01:24) correct 36% (01:30) wrong based on 125 sessions

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At the Marseille port, a small cargo ship is loaded in 2.5 hours and a large cargo ship is loaded at double the rate in X hours. In terms of X, how many times does the load of a small cargo ship fit into a large cargo ship?

A. 2X/5
B. 5X/2
C. 5/4X
D. 4X/5
E. 5X/4
[Reveal] Spoiler: OA

Last edited by Bunuel on 10 Oct 2016, 00:50, edited 2 times in total.
Renamed the topic and edited the question.

Kudos [?]: 22 [2], given: 28

Math Expert
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Re: At the Marseille port, a small cargo ship is loaded in 2.5 [#permalink]

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29 Aug 2013, 09:13
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Manaswita wrote:
At the Marseille port, a small cargo ship is loaded in 2.5 hours and a large cargo ship is loaded at double the rate in X hours. In terms of X, how many times does the load of a small cargo ship fit into a large cargo ship?

A. 2X/5
B. 5X/2
C. 5/4X
D. 4X/5
E. 5X/4

Say the large ship is twice as large as the small one (so say 2 loads of a small cargo ship fit into a large cargo ship). In this case at double the rate the 2 times larger ship will be loaded in the same 2.5 hours, so we'd have that x=2.5 hours. Now substitute x=2.5 into the answer choices to see which option gives 2. Only D fits.

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Kudos [?]: 133166 [2], given: 12421

Manager
Joined: 06 Jul 2013
Posts: 103

Kudos [?]: 34 [2], given: 42

GMAT 1: 620 Q48 V28
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Re: At the Marseille port, a small cargo ship is loaded in 2.5 [#permalink]

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30 Aug 2013, 09:42
2
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D.

lets Say V1 is vol of small cargo and v2 is large cargo
r1 = v1/2.5
r2 = 2r1

x = v2/r2
x= v2/2v1/2.5

x= 5v2/4v1
v2/v1 = 4x/5 SO D

Kudos [?]: 34 [2], given: 42

Manager
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Kudos [?]: 141 [1], given: 39

Location: India
Concentration: Finance, Strategy
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Re: At the Marseille port, a small cargo ship is loaded in 2.5 [#permalink]

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08 Sep 2013, 12:56
1
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Manaswita wrote:
At the Marseille port, a small cargo ship is loaded in 2.5 hours and a large cargo ship is loaded at double the rate in X hours. In terms of X, how many times does the load of a small cargo ship fit into a large cargo ship?

A. 2X/5
B. 5X/2
C. 5/4X
D. 4X/5
E. 5X/4

Sol:

work done by small ship = A (rate ) * 5/2 (time)= 5A/2

Work done by large ship = B(rate)* T = 2A*X

ratio = Large/small ship = 2AX/(5A/2) = 4X/5

Kudos [?]: 141 [1], given: 39

Director
Joined: 03 Aug 2012
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Kudos [?]: 919 [0], given: 322

Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
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Re: At the Marseille port, a small cargo ship is loaded in 2.5 [#permalink]

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24 Sep 2013, 23:35
Rate Time Work

1/2.5 2.5 1
2/2.5 X (2/2.5)X

1* What = 2/2.5 X

What = (2/2.5)X

Hence (D)
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Kudos [?]: 919 [0], given: 322

Manager
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Re: At the Marseille port, a small cargo ship is loaded in 2.5 [#permalink]

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16 Apr 2014, 02:38
Work = rate *time;

r1 t1 = 2.5 * ra;
r2t2 = X*2 rb;

2.5 * ra = X * rb;

ratio = 4X/5;

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Intern
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Re: At the Marseille port, a small cargo ship is loaded in 2.5 [#permalink]

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27 Nov 2014, 09:34
Let Small ship capacity be 'S'
Large ship capacity be 'L'

Form question -- small cargo ship is loaded in 2.5 hours, the rate at which the small ship loaded is S/2.5
-- large cargo ship is loaded at double the rate in X hours, the rate at which the large ship is loaded is L/x

Also, from question -- a large cargo ship is loaded at double the rate , so L/x = S/2.5 *2
L = S * X* 2/5 *2
L= S *(4X/5)
Hence 'D'

Kudos [?]: 4 [0], given: 8

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Re: At the Marseille port, a small cargo ship is loaded in 2.5 [#permalink]

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27 Nov 2014, 23:45
3
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Time ............... Rate .............. Work

2.5 ..................... $$\frac{1}{2.5}$$ ................. 1 (Small ship)

x .......................... $$\frac{2}{2.5}$$ ..................... $$\frac{2x}{2.5} = \frac{4x}{5}$$ (Big Ship; twice the rate of small ship)

Load in big ship is $$\frac{4x}{5}$$ times that of small ship

Bunuel: Kindly update OA for this question. Thanks
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Re: At the Marseille port, a small cargo ship is loaded in 2.5 [#permalink]

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08 May 2016, 05:08
Hello from the GMAT Club BumpBot!

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Re: At the Marseille port, a small cargo ship is loaded in 2.5 [#permalink]

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05 Jul 2017, 04:51
Hello from the GMAT Club BumpBot!

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: At the Marseille port, a small cargo ship is loaded in 2.5   [#permalink] 05 Jul 2017, 04:51
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