To find out how many turns the driven gear will make for every turn the drive gear makes, you can use a simple ratio calculation. In this case, since the driven gear has 30 teeth and the drive gear has 5 teeth, the ratio is 30:5, which simplifies to 6:1. This means that for every one turn of the drive gear, the driven gear will make 6 turns.
As for whether this type of gear train is used to increase force or speed and distance, it is primarily used to increase speed. In this scenario, the small gear with 5 teeth acts as the drive gear, and since it turns six times for every one turn of the driven gear with 30 teeth, it results in a faster rotation of the driven gear. However, it's important to note that this gear train does not provide mechanical advantage in terms of force or torque. If the goal is to increase force, a different type of gear train, such as a gear reduction train, would be used.