Problem #22-Solved by Peter Dun

A small car company operates machinery for $t$ hours per day that produces $c$ cars per hour, where $c$ and $t$ are positive integers. After upgrading the machinery, the company can now produce$2c+5$ cars per hour. If the machinery now operates for $t-2$ hours per day and yet produces the same number of cars per day, how many cars per day does it produce?