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Using the together rate, it is found that it will take them 18 minutes to prepare the cards working together.
The together rate is the sum of each separate rate.
In this problem:
Hence, the time it will take for them to make the cards is given by:
[tex]\frac{1}{x} = \frac{1}{45} + \frac{1}{30}[/tex]
[tex]\frac{1}{x} = \frac{5}{90}[/tex]
5x = 90
x = 18 minutes.
More can be learned about the together rate at https://brainly.com/question/25159431
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