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# Robots X, Y and Z each assemble components at their

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Senior Manager
Joined: 17 Aug 2005
Posts: 394
Location: Boston, MA
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Robots X, Y and Z each assemble components at their [#permalink]  12 Mar 2006, 12:09
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Robots X, Y and Z each assemble components at their respective constant rates. If r(subx) is the ratio of robot X's constant rate to robot Z's constant rate and r(suby) 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) r(subx)<r(suby)
2) r(suby)<1
Senior Manager
Joined: 17 Aug 2005
Posts: 394
Location: Boston, MA
Followers: 1

Kudos [?]: 17 [0], given: 0

C is right. Is it right to deduce from the information that from:
Statement 1: x<z?
Statement 2: z>y?

I got thrown off multiplying both sides by z in Statement 2, thinking, What if z was negative, then the sign would be reversed and we don't know if z is neg or pos. BUT, robots cant have negative constant rates, now can they??
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Joined: 14 Dec 2004
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buckkitty wrote:
C is right. Is it right to deduce from the information that from:
Statement 1: x<z?
Statement 2: z>y?

I got thrown off multiplying both sides by z in Statement 2, thinking, What if z was negative, then the sign would be reversed and we don't know if z is neg or pos. BUT, robots cant have negative constant rates, now can they??

You can deduce solution from the information provided.
In this case,

1. x/z < y/z: x<y but we can't say anything about z.
2. y/z < 1: It means, y < z. but we don't know anything about x

If we consider both,
y<z & x < y => z>y>x. z is the greatest.

Rate can't be negative here, since it is "rate of assembling components". But velocity of a vehicle (rate) can be negative.
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