Working together, it takes two computers 15 minutes to send out a company's email. If it takes the slower computer 45 minutes to do the job on its own, how long will it take the faster computer to do the job on its own? Do not do any rounding. minutes

Step 1 ：Let's denote the rate of the slower computer as S, the rate of the faster computer as F, and the rate of both computers together as T.

Step 2 ：We know that S = \(\frac{1}{45}\) jobs per minute and T = \(\frac{1}{15}\) jobs per minute.

Step 3 ：We can set up the equation T = S + F and solve for F.

Step 4 ：Substituting the values of S and T into the equation, we get \(\frac{1}{15} = \frac{1}{45} + F\).

Step 5 ：Solving for F, we get F = \(\frac{1}{15} - \frac{1}{45} = 0.04444444444444444\) jobs per minute.

Step 6 ：The time it takes for the faster computer to do the job on its own is the reciprocal of its rate, so time_for_faster_computer = \(\frac{1}{F} = 22.500000000000004\) minutes.

Step 7 ：Final Answer: The faster computer will take approximately \(\boxed{22.5}\) minutes to do the job on its own.