I have a 1995 Honda Civic EX, with the 1.6 Liter VTEC engine. It does not have anti-Lock brakes. Lately I have noticed that when I apply the brakes, they will travel freely about the right distance, then resist my foot properly at first, then travel down some more as I hold the pedal down.

I have not done any work in the brakes myself recently, nor has anyone else.

The reservoir for the master cylinder has enough fluid. The master cylinder is attached firmly to the power assist thing.

How should I proceed with this? My brake experience is extremely limited. I once bled the brakes on a 1984 Camry when I replaced the rear struts. That worked just fine.

 

Does the pedal continue to go down to the floor? My first thought is you have a bad master cylinder. Get a quality rebuilt cylinder, don't try to rebuild yours if you have no prior experience working on them.

 

You should proceed as follows:
1. buy master cylinder repair kit
2. remove master
3. pull piston out and refurbish it.
4. Reinstall master.
5. Bleed the system.
I'd not be buying a cheapo replacement master. Had very bad success with them. Tempting as you can buy one for less than $30, but they don't last worth a dime.

PART 1 - Brake pedal goes to floor

 

I too say change the master cylinder. Usually when there is a slow sinking to the floor it is bypassing the piston in the master.

I see new masters on drivewire for around $60. I would also check autozone.