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One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and travels west at 40 mph. At what rate is the distance between the cars changing at the instant the second car has been traveling for 1 hour?

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[tex]30 \times 2 = 60[/tex]

[tex]40 \times 1 = 40[/tex]

[tex]40² + 60²[/tex]

[tex] = 1600 \: + 3600[/tex]

[tex] = 5200[/tex]

[tex] \sqrt{5200} = 30 \sqrt{13} [/tex]

[tex]≈72[/tex]

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