In first gear, or low gear, an automobile's engine runs about three times as fast as the drive shaft. In second gear, the engine does not have to run as fast; usually it runs about 1.6 times faster than the drive shaft. Finally, in third, or high gear, the engine runs at the same speed as the drive shaft.

Engine speed = 2,575 r.p.m.

is there a question somewhere in there?

To determine the speed of the drive shaft in each gear, we can use the given ratios provided.

First gear: Engine speed is three times faster than the drive shaft speed. Therefore, we can calculate the drive shaft speed by dividing the engine speed by the ratio:

Drive shaft speed in first gear = Engine speed / 3 = 2,575 r.p.m. / 3 = 858.33 r.p.m.

Second gear: Engine speed is 1.6 times faster than the drive shaft speed. We can calculate the drive shaft speed in second gear using the same method:

Drive shaft speed in second gear = Engine speed / 1.6 = 2,575 r.p.m. / 1.6 = 1,609.38 r.p.m.

Third gear: The engine speed is the same as the drive shaft speed. Therefore, the drive shaft speed in third gear is equal to the engine speed:

Drive shaft speed in third gear = Engine speed = 2,575 r.p.m.

So, the engine speed is 2,575 r.p.m., and the drive shaft speeds in first, second, and third gear are approximately 858.33 r.p.m., 1,609.38 r.p.m., and 2,575 r.p.m., respectively.