The tire company is testing new tires by placing them on a machine that can simulate the tires riding on a road. First,
the machine runs the tires for 8.2 hours at 40 miles per hour. Then the tires are run for 5.8 hours at a different speed.
After this 14-hour period, the machine indicates that the tires have traveled the equivalent of 676 miles. Find the
second speed to which the machine was set.