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?
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}.