At most a speeding ticket will only affect your auto insurance rates for a period of 3 years but sometimes less depending on the state and the insurance company.
Most insurance companies only use your speeding ticket to affect your insurance rates for 3 years at most.
However some insurance companies may increase your auto insurance premiums for as long as 10 years especially if you get more speeding tickets.
But as long as you keep your driving record clean and avoid speeding and getting anymore speeding tickets you should see a drop in your insurance premiums after 3 to 4 years.