Rate, Distance, and Time - Definitions & Examples

$$\text{Air Traffic Control Day}$$

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Today (July 6) is National Air Traffic Control Day!

It's your first day on the job at Expii Airport. Po is arriving in his private jet, P314. His plane is flying a distance of $6{,}580$ miles and left at $2{:}00$ am.

Suddenly three other planes request permission to land.

• Plane 1 is traveling $3{,}290$ miles at the same speed of Po's plane. It will complete its trip $7$ hours less than the time it takes Po's plane to complete its trip but it left at $9{:}00$ am.
• Plane 2 is traveling $2600$ miles but $180$ miles per hour faster than Po's plane. It will complete its trip $3$ hours less than the time it takes Plane 1 to complete its trip but it left at 12:00 pm.
• Plane 3 is traveling $\frac34$ the distance of Po's plane but is going $517$ miles per hour faster. It will complete its trip 1 hour longer than the time it takes Plane 2 to complete its trip but it left at $10{:}00$ am.