Let's denote the time it takes to make one one-sided copy as x seconds, and the time it takes to make one two-sided copy as y seconds.
From the first situation, we know that 15x + 15y = 105.
From the second situation, we know that 44x + 45y = 312.
We can solve this system of equations by multiplying the first equation by 3 and subtracting it from the second equation multiplied by 1 to eliminate y: 1*(44x + 45y) - 3*(15x + 15y) = 312 - 3*105, or 44x + 45y - 45x - 45y = 312 - 315, which simplifies to -x = -3, or x = 3.
Substituting this value into the first equation, we find 15*3 + 15y = 105, or 45 + 15y = 105. Solving this equation for y, we find y = (105 - 45)/15 = 60/15 = 4.
Therefore, it takes 3 seconds to make one one-sided copy, and 4 seconds to make one two-sided copy. Answer: \boxed{3, 4}.
An administrative assistant is making some copies. She made 15 one-sided copies and 15 two-sided copies for the V.P. of Marketing, which took a total of 105 seconds. Next, she made 44 one-sided copies and 45 two-sided copies for the Director of Sales, which took 312 seconds. How long does it take to make each type of copy?
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