Algebra-2

To determine the number of hours it takes Machine 2 to produce 1500 boxes when working alone, we can set up the following equation:

Machine 1's production rate: boxes per hour.

Machine 2's production rate: boxes per hour.

When both machines work together, their combined production rate is: boxes per hour.

Since the combined production rate is the sum of the individual production rates, we can write the equation:



Now, let's solve for z, which represents the number of hours it takes Machine 2 to produce 1500 boxes when working alone.

To eliminate the denominators, we can multiply both sides of the equation by :

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