A small airplane flies 1015 miles with an average speed of 290 miles per hour. 1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of the 747

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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.