On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

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Answer:

1.6 hours or 1 hour 36 minutes

Step-by-step explanation:

We have been given an equation [tex]t=\frac{1}{500}d[/tex], where d represents distance traveled in miles and t represents time in hours.

To find the time taken by the flight to travel 800 miles, we will substitute [tex]d=800[/tex] in our given equation as:

[tex]t=\frac{1}{500}\times 800[/tex]

[tex]t=\frac{800}{500}[/tex]

[tex]t=\frac{8}{5}[/tex]

[tex]t=1.6[/tex]

1 hour equals 60 minutes.

0.6 hours = 0.6*60 minutes = 36 minutes.

Therefore, it will take the plane 1.6 hours or 1 hour 36 minutes to travel 800 miles.

Using the equation, it is found that it will take 1.6 hours for the airplane to travel 800 miles.

The equation that relates the time in hours needed to travel d miles is given by:

[tex]t = \frac{1}{500}d[/tex]

In this problem, we want the time needed to travel 800 miles, thus [tex]d = 800[/tex], and:

[tex]t = \frac{1}{500}(800) = \frac{800}{500} = 1.6[/tex]

It will take 1.6 hours for the airplane to travel 800 miles.

A similar problem is given at https://brainly.com/question/24316569