A car that travels 20 miles in \frac{1}{2} 2 1 ​ hour at constant speed is traveling at the same speed as a car that travels 30 miles in \frac{3}{4} 4 3 ​ hour at a constant speed.

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Step-by-step explanation:

If distance is 20 miles and time is (1/2) h. Its speed is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{20\ miles}{1/2\ h}\\\\v=40\ mph[/tex]

If the distance is 30 miles and the time is (3/4) hours. Its speed is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{30\ miles}{3/4\ h}\\\\v=40\ mph[/tex]

So, the rate or the speed ib both the case is constant.

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