I have a 5' wide by 6' high gate. I am going to use 4 hinges. I know that the top hinge is 5" from the top and the bottom is 10" from the bottom. Are the other two equal distance between the others? Thanks in advance.

 

Yes, that's basically correct.

A little background. It's not relevant to your gate, but it is is the basis of your conclusion.

5 - 10 is the US Standard layout for Door Hinges.
7 - 11 is the Western layout.

On a 5-10 layout the top hinge leaf would be 4-7/8" (+/- 1/16" tolerance) from the door head rail when properly located. Add 1/8" for the head jamb to head rail clearance = 5". Likewise 10" (+/- 1/16") is measured from the finished floor. It is not from the bottom of the door itself.

All remaining hinge locations are O.C. "on center" measurements, and are equally divided spacings.

 

Thanks for the information. I appreciate a full explanation.