Robots \(x, y,\) and \(z\) each assemble components at their respective constant rates. If \(r_x\) is the ratio of robot

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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?

(1) \(r_x<r_y\)
(2) \(r_y<1\)

Answer: C

Source: GMAT Prep
Source: — Data Sufficiency |

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VJesus12 wrote:
Thu Mar 18, 2021 12:45 pm
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?

(1) \(r_x<r_y\)
(2) \(r_y<1\)

Answer: C

Source: GMAT Prep
We need both the information if the constant rate for Z is greater or not.

1. says that the constant rate of Y is greater than X. x/z < x/y
2. says that the constant rate of Y is smaller than Z. y/z <1

So, we need both the information, therefore C