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



Answer :

GinnyAnswer
To find out how long it will take an airplane to travel 800 miles given the equation [tex]\( t = \frac{1}{500} d \)[/tex], we will follow these steps:

1. Identify the given values and the equation:
- Distance, [tex]\( d \)[/tex]: 800 miles
- The equation relating time [tex]\( t \)[/tex] to distance [tex]\( d \)[/tex]: [tex]\( t = \frac{1}{500} d \)[/tex]

2. Substitute the given distance into the equation:
- Replace [tex]\( d \)[/tex] with 800 in the equation:
[tex]\[ t = \frac{1}{500} \times 800 \][/tex]

3. Calculate the time:
- Perform the multiplication:
[tex]\[ t = \frac{1}{500} \times 800 \][/tex]
Simplify the expression:
[tex]\[ t = \frac{800}{500} \][/tex]
[tex]\[ t = 1.6 \][/tex]

4. Interpret the result:
- The time it will take the airplane to travel 800 miles is 1.6 hours.

Therefore, it will take the airplane 1.6 hours to travel 800 miles.

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