Soru

Two commercial printing presses, Press A and Press B, operate at constant rates to print a total order of $N$ pages. Press A prints at a constant rate of $x$ pages per minute, while Press B prints at a constant rate that is $25$ pages per minute faster than Press A. Press A begins printing alone. After $20$ minutes, Press B is turned on, and both presses work simultaneously for an additional $30$ minutes. At that point, Press A stops, and Press B works alone for $10$ final minutes to complete the order. If Press B printed exactly $\frac{6}{11}$ of the total number of pages in the order, what is the value of $x$?