Ferdman said: "some hot rods had 4.11 differentials"
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The real street rods and 1/4 mile drag strip racers ran 4.56 or even 5.11 gears. Not as much top speed....but you sure get to the car's top end quickly. Downside is more engine wear per mile of driving, lower fuel economy (not that racers cared about that) and a noisy interior due to more engine and exhaust noise.

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1986 560 SEL (159K miles)