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

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31 Mar 2009, 16:00

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Robots X, Y, and Z each assemble components at their respective constant rates. If \(r_x\) is the ratio of Robot X's constant rate to Robot Z's constant rate and \(r_y\) 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?

Re: Robots X, Y, and Z each assemble components at their [#permalink]

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01 Apr 2009, 01:27

I think E Lets take V as Robot Z's constant rate

is Robot Z's constant rate the greatest of the three?

X:Y:Z=Va:Vb:V now to have V highest we need to know whether V is <0 or >0 V could be 2 or say, 1/2 it changes the whole picture

Robots X, Y, and Z each assemble components in their respective constant rates. If a is the ration of Robot X's constant rate to Robot Z's constant rate and b 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) a < b 2) b < 1
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Re: Robots X, Y, and Z each assemble components at their [#permalink]

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03 Jan 2011, 20:26

We need both the information if the constant rate for Z is greater or not. 1. says that constant rate of Y is greater than X. x/z < x/y 2. says that constant rate of Y is smaller than Z. y/z <1

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?

Let the rates of robots X, Y, and Z be x, y, and z respectively. Given: \(r_x=\frac{x}{z}\) and \(r_y=\frac{y}{z}\). Question is \(z>x\) and \(z>y\)?

(1) \(r_x<r_y\) --> \(\frac{x}{z}<\frac{y}{z}\) --> \(x<y\). Not sufficient.

(2) \(r_y<1\) --> \(\frac{y}{z}<1\) --> \(y<z\). Not sufficient.

(1)+(2) As \(x<y\) and \(y<z\) then \(x<y<z\). Sufficient.

Re: Robots X, Y, and Z each assemble components at their [#permalink]

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31 Aug 2015, 06:43

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This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Robots X, Y, and Z each assemble components at their respective constant rates. If \(r_x\) is the ratio of Robot X's constant rate to Robot Z's constant rate and \(r_y\) 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?

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