Answer:
Corporate jet = 370 mph
Smaller plane = 185 mph
Step-by-step explanation:
The relationship between the first leg and the second leg of the flight is:
[tex]2t_1=t_2[/tex]
Total travel time is:
[tex]t_1+t_2=6\ hours\\t_1+2t_1=6\\t_1=2\ hours[/tex]
The speed of the corporate jet is:
[tex]v=\frac{740\ miles}{2\ hours}\\v=370\ mph[/tex]
The speed of the smaller plane is half of that of the jet:
[tex]v_2=\frac{370}{2}\\ v_2=185\ mph[/tex]
Therefore, the corporate jet travels at 370 mph and the smaller plane travels at 185 mph.
