It is important that in Droid 02X, you fully utilize the feature of double-jumping.
In order to jump more efficiently, hold down the arrow key to get the most height out of your jump.
To jump higher, use your 2nd jump of the double jump only when you have reached the maximum distance your 1st jump can take you.
To jump a greater distance, move forward using the left and right arrow keys, whilst using your first jump. Jump the second time when you have reached you maximum horizontal distance ( when your Y position is the same as it previously was ). This will guarantee better chances of you beign able to jump over holes or large gaps.
I'm sure I have confused you enough :D . Just practice these basic techniques to ensure that you will better thrive in this action-adventure platformer.