Speed up Gameobjects Based on Score

I have been trying to increase the speed of some gameobjects to make my game more difficult. The more points the player scores the faster the game gets. I want the speed to remain at the incremented amount and continue to increase the higher the score.

The way my code is set up right now:

GameObject starts at normal speed and then speeds up for a second. Once the gameobject is destroyed the same thing occurs. It looks terrible!

What could I do to fix this? There are no tutorials online for this and I have tried searching unity answers for a few days and still nothing.

Here's my code:

Object Spawner:

 using UnityEngine;
 using System.Collections;
 
 public class NewEnemySpawner : MonoBehaviour {
 
     public Transform []spawnPoints;
     public float spawnTime = 2f;
     public GameObject [] Players;
     //public float moveSpeed;
 
 
     // Use this for initialization
     void Start () {
     
         InvokeRepeating ("SpawnPlayers", spawnTime, spawnTime);
 
     }
     
     // Update is called once per frame
     void Update () {
 
 
     }
 
 
 
 
     void SpawnPlayers(){
         int spawnIndex = Random.Range (0, spawnPoints.Length);
         int objectIndex = Random.Range (0, Players.Length);
         Instantiate (Players [objectIndex], spawnPoints [spawnIndex].position, spawnPoints [spawnIndex].rotation );
     }
 
 
     }

My Attempt at Increasing the Speed Based on Score:

 using UnityEngine;
 using System.Collections;
 
 public class RunningPlayersRight : MonoBehaviour {
 
     public GameObject runningPlayer;
     //public Vector3  target;
 
 
 
     public float speed=1.0f;
 
 
 
     // Use this for initialization
     void Start () {
 
 
     }
 
     // Update is called once per frame
     void Update () {
 
         if (ScoreManager.scoreCount % 100 == 0) {
             speed += .05f;
         }
 
         float change = speed * Time.deltaTime;
         runningPlayer.transform.Translate(Vector3.left *change );
 
 
         //transform.position = Vector3.MoveTowards (transform.position, target, change);
         Destroy (gameObject,4);
 
     }
 }