An airplane leaves New York City and heads toward Los Angeles. As it climbs, the plane gradually increases its speed until it reaches
cruising altitude, at which time it maintains a constant speed for
several hours as long as it stays at cruising altitude. After flying for
32 minutes, the plane reaches cruising altitude and has flown 192
miles. After flying for a total of 92 minutes, the plane has flown a
total of 762 miles. Assuming that the plane maintains its speed at
cruising altitude, determine the total number of miles the plane has
flown 2 hours into the flight.