Answer:
The Boeing 747 had an average speed of 580 mph.
Step-by-step explanation:
Constant speed motion
An object is said to travel at constant speed if the ratio of the distance traveled by the time taken is constant.
Expressed in a simple equation, we have:
[tex]\displaystyle v=\frac{d}{t}[/tex]
Where
v = Speed of the object
d = Distance traveled
t = Time taken to travel d.
From the equation above, we can solve for d:
d = v . t
And we can also solve it for t:
[tex]\displaystyle t=\frac{d}{v}[/tex]
The small airplane travels 1015 miles at a constant speed of v=290 miles/hour. The time it took to arrive its destiny was:
[tex]\displaystyle t=\frac{1015}{290}[/tex]
t = 3.5 hours
The Boeing 747 left from the same point 1.75 hours after the small plane and traveled the same distance. It needed a time t' = 3.5 - 1.75 = 1.75 hours, thus its speed must have been:
[tex]\displaystyle v=\frac{1015}{1.75}=580[/tex]
The Boeing 747 had an average speed of 580 mph.