Answer:
The average speed of the 747 was of 580 miles per hour.
Step-by-step explanation:
We use the following relation to solve this question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance and t is the time.
A small airplane flies 1015 miles with an average speed of 290 miles per hour.
We have to find the time:
[tex]v = \frac{d}{t}[/tex]
[tex]290 = \frac{1015}{t}[/tex]
[tex]290t = 1015[/tex]
[tex]t = \frac{1015}{290}[/tex]
[tex]t = 3.5[/tex]
1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time;
The time of the Boeing 747 is:
[tex]t = 3.5 - 1.75 = 1.75[/tex]
Distance of [tex]d = 1015[/tex], the velocity is:
[tex]v = \frac{d}{t} = \frac{1015}{1.75} = 580[/tex]
The average speed of the 747 was of 580 miles per hour.