Actually, No. That operation doesn't give you the speed, and that statement is false.
One clue is the units. If you multiply time by distance, you'd get an answer with units of hour-miles or second-meters. These are absurd units, with no physical significance.
Speed = (distance covered) DIVIDED BY (time to cover the distance)
When you divide distance by time, you get an answer with units like "miles per hour" or "meters per second". Without going into a long-winded discussion, I can't PROVE to you that this is actually the correct speed, but these units sure do smell a lot better.