Problem

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

Answer

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Answer

Final Answer: The faster computer will take approximately 22.5 minutes to do the job on its own.

Steps

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 = 145 jobs per minute and T = 115 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 115=145+F.

Step 5 :Solving for F, we get F = 115145=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 = 1F=22.500000000000004 minutes.

Step 7 :Final Answer: The faster computer will take approximately 22.5 minutes to do the job on its own.

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