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## OG Review - DS #47

This topic has 1 expert reply and 4 member replies
bml1105 Master | Next Rank: 500 Posts
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#### OG Review - DS #47

Wed Jan 01, 2014 12:02 pm
Robots X, Y, and Z each assemble components at their respective constant rates. If rx is the ratio of Robot X's constant rate to Robot Z's constant rate and ry is the ratio of Robot Y's constant rate to Robot Z's constant rate, is Robot Z's constant rate the greatest of the three?

(1) rx < ry
(2) ry < 1

** My questions are below to avoid spoiling the answer for those that want to attempt the problem.

Last edited by bml1105 on Thu Jan 02, 2014 2:03 pm; edited 1 time in total

bml1105 Master | Next Rank: 500 Posts
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Sun Jan 05, 2014 8:53 pm
Thanks! I'm glad I'm not the only one that was a bit stumped by this question.

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GMATGuruNY GMAT Instructor
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Thu Jan 02, 2014 10:32 pm
bml1105 wrote:
Robots X, Y, and Z each assemble components at their respective constant rates. If rx is the ratio of Robot X's constant rate to Robot Z's constant rate and ry is the ratio of Robot Y's constant rate to Robot Z's constant rate, is Robot Z's constant rate the greatest of the three?

(1) rx < ry
(2) ry < 1

On the GMAT, the term ratio will always refer to POSITIVE values.

http://www.beatthegmat.com/ratio-t266289.html

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bml1105 Master | Next Rank: 500 Posts
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Wed Jan 01, 2014 12:05 pm
Can ry not be less than 0 because we are talking about constant rates of assembling components?

In the answer, it mentions that because ry < 1, then y must be less than z. Technically, y or z could be a negative improper fraction and still be less than 1. I just want to make sure I'm supposed to be assuming that the reason they say y < z is because of the scenario and not a concept I'm missing.

Uva@90 Master | Next Rank: 500 Posts
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Wed Jan 01, 2014 10:25 pm
bml1105 wrote:
Robots X, Y, and Z each assemble components at their respective constant rates. If rx is the ratio of Robot X's constant rate to Robot Z's constant rate and ry is the ratio of Robot Y's constant rate to Robot Z's constant rate, is Robot Z's constant rate the greatest of the three?

(1) rx < ry
(2) ry < 1

** My questions are below to avoid spoiling the answer for those that want to attempt the problem.
Hi Bml1105,

Given:
X/Z =rx =>Z =X/rx
Y/Z =ry =>Z =Y/ry
To Find: Z>(X and Y) or not.

Statement 1: rx < ry
since,
X/rx = Y/ry and rx < ry
So, Y > X

Statement 2: ry < 1
Z =Y/ry and ry < 1
Hence Z > Y.
Hence Insufficient.

Combine 1 and 2
z>y>x
Hence Sufficient.

Regards,
Uva.

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bml1105 Master | Next Rank: 500 Posts
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Thu Jan 02, 2014 2:03 pm
Yes, sorry, the correct answer is C

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