Installing 7 day timer only one set of wires where old timer was, where does red wire go.

SOURCE: i am installing honywell thermostat rth111/rth221

rh goes on red, this is what will provide power to the heat

rc is red if you want to power the ac unit

SOURCE: I bought a Utilitech 7 day digital in wall timer,

HI .. if the switch has only a black and white wire attached, and there are no other wires in the wall box, then you cannot use this timer switch. You need to return it and get a timer that does not use a neutral connection. The wires you have are a switch leg from the light and there is a white wire but it is not a neutral.
If there are other wires in that wall box , tell me and we can chat more about how to remedy this .

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SOURCE: Help with Woods 59018/59028 7 day digital timer

The usual connection for this type timer is the house black power to the timer black, the house white power to the timer white and the , the light black wire to the red timer wire.
If you only have two wires, one black and one white, at the switch location, then you cannot use this style timer , as it needs a neutral. You should return this timer and get one that does not require a neutral connection.

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SOURCE: GE digital timer. Instructions say to: 1)

Find the Hot wire:
Your switch has 2 wires. One of these wires is Hot, and one goes to load. Disconnect wires from switch. Turn on power. Do not stand on wet surface. Test each wire to bare copper wire. When tester lights up, that is Hot wire. The other wire goes to load.

Connect wires:
Hot wire goes to Black timer wire
Wire to load goes to Red timer wire
White wire connects to white wires that are twisted together
Bare copper wire connects to Green wire from timer

How to connect white wire to white wires that are twisted together.
a) Strip white timer wire so you have 1-1/2 " of bare wire. Stranded wire will wrap around other wires easily.
b) Remove wire nut. DO NOT UNTWIST wires.
c) Hold all whites together so bare copper lines up. Wrap stranded copper around the twisted wire.
d) Replace wire nut, or use larger wire nut. Twist real tight. Do not use tape. You can solder the connection.
e) When done, pull on white time wire to make sure it is held tight. Push whites back into box.

SOURCE: I bought Utilitech #0141224 7

If your box contains 2 and only 2 wires, then the Utilitec timer will not work.
You need the Intermatic ST01C or EJ500 timers that operate with a battery.

I have tested the Intermatic and Utilitec timers:
http://waterheatertimer.org/Program-wire-Utilitec-0141224.html
http://waterheatertimer.org/ST01C-program.html#wire
Do not connect white and red wires together on any timer, but thank you for solving the problem why lights blink when connecting timers.

Now lets look at your wires.
Scrape paint off the wires so you can identify white and black.
According to your information, the black wire inside box will connect to timer-black wire.
The red wire always goes to Load (your light, fan, motor)
The white wire is necessary to complete a circuit so the clock inside timer will operate.
The timer has a clock just like your alarm clock, and it needs to connect back to neutral busbar in breaker box.
This is why the battery-operated timers will work with two wires, the clock runs on battery.
The Utilitec timer-white wire is the wire that goes to Neutral
The timer-white wire is supposed to connect to the other white wires that are twisted together and covered with a wire nut ... but some boxes do not have this neutral wire
To work-around, the timer-white wire can also connect to a bare ground wire.
The bare ground wire also connects to Neutral busbar in breaker box

If you do not have a neutral or ground wire as described above, then you need the battery-powered ST01C or EJ500 Intermatic timers.
See if you can pull some more of the wire into your box ... there might be a ground wire that was cut off and pulling more wire might reveal a ground wire. This will salvage the project.
Aplus is one of many places that sell the Intermatic timer
http://www.aplussupply.com/intermatic/timer.htm

For more about electric wiring:
http://waterheatertimer.org/See-inside-main-breaker-box.html
http://waterheatertimer.org/B220C.html