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No. Overdrive causes the engine to turn slower at any given speed. Its main use is to improve fuel mileage. In a transmission without overdrive, when you select high gear, the transmission ratio is one-to-one, written as 1:1. This means each time the engine makes one revolution, the output shaft (driveshaft in a rear-wheel-drive car) also turns one revolution. In a car with overdrive, there is one more gear. When in overdrive, each time the engine makes one revolution, the output shaft turns morethan one revolution. This is the 'over' part. So the car goes faster for the same engine speed, or, put another way, the engine turns slower for the same vehicle speed. Since most engines produce peak horsepower at a fairly high RPM, and the overdrive slows the engine down, there is actually less horsepower (and torque) available at the wheels while the overdrive is engaged. This is why most manufactuters recommend not using the overdrive when towing heavy loads.
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