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A train travels a distance of $480$ km at a uniform speed. If the speed had been $8$ km/h less, then it would have taken $3$ hours more to cover the same distance. Find the speed of the train.
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Let speed be $x$ km/h. $\frac{480}{x - 8} - \frac{480}{x} = 3 \implies x^2 - 8x - 1280 = 0 \implies (x - 40)(x + 32) = 0 \implies x = 40$. Speed $= 40$ km/h.