Hot water is not working in all faucet, no hot water

How quickly the water coming out of any specific faucet "gets hot" is most often a function of the distance from the water heater. A faucet that is a significant distance from the water heater must first allow all the cool/cold water in the lines to flow through before the hot water will begin to flow from the faucet. You can estimate that distance. look here:
http://waterheatertimer.org/pdf/How-far-hot-water-travels-in-household-pipes-in-30-seconds.pdf

The wait can be solved to some degree with a continuous flow pump, but this uses (wastes) lots of energy. Installation of a tankless heater in close proximity to the faucet can also solve the "problem". Be sure its is capable of raising the water temp at the flow rate as you require.
Waiting for Hot Water

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Test for crossover, where bad faucet cartridge or recirculation check valve keeps hot from reaching taps
http://waterheatertimer.org/Crossover.html

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1) Copy following link:
http://waterheatertimer.org/Crossover.html

2) Add comment with clear description of water heater, fuel type, and pump?
Is this a pump problem or water heater problem?
Is this a water well pump?
Are you getting good stream of cold water at tap?
Which water heater do you have?
Is the heater new?
Or older heater that stopped working.

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You have gas water heater with working burner.
But not getting hot water at faucet?

1) Bad faucet cartridge. Test for crossover. Copy following link:
http://waterheatertimer.org/Crossover.html


2) Is there hot water inside the tank? Open drain valve and check for hot water.

3) Drips and leaks: Turn off all taps and put ear against pipe and listen for water leak.
Water leak can run all the hot out of tank.

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Clogged cold water nipple or clogged hot water nipple.
Is water hot at drain valve?
http://waterheatertimer.org/Low-hot-water-pressure.html

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1) Guesses: Sounds like a bad single-handled faucet cartridge, or low water flow at faucet, or clogged water filter.
Replace faucet cartridge, clean the aerator, and/or clean sediment out of pipes below sink, and clean water filter at tankless unit each month.

2) For exact measure of problem:
Typical faucet can have 2 gallon per minute flow rate.
2 gpm flow rate means faucet fills 1 gallon container in 30 seconds. Test faucet using 1 gallon container and a cooking timer to get flow rate.
Clean aerator to improve flow rate. Compare kitchen flow rate with other faucets in home.
http://waterheatertimer.org/Low-hot-water-pressure.html

Most homes have 1/2" diameter pipe running to kitchen faucet.
100 feet of 1/2" diameter pipe holds 1.2 gallons of water. This assumes no sediment build-up inside pipes.
http://waterheatertimer.org/Water-heater-recirculation-system.html

Assuming only hot is turned on: If faucet is 100 feet away from water heater, and pipe diameter is unobstructed 1/2" diameter, and faucet has 2 gallon per minute water flow, then hot water should arrive in 36 seconds.
50 feet away, and hot water should arrive in 18 seconds.

If kitchen has single handled faucet, and the handle is raised in the middle, then equal amounts of hot and cold water are drawn at same time. This doubles amount of time for hot water to arrive.

If single handle faucet has a bad cartridge, then faucet can have crossover.
Crossover means that cold water can enter the faucet even if faucet is turned to hot.
Bad single-handled faucet cartridge can delay or stop the arrival of hot water.
http://waterheatertimer.org/Crossover.html

Tankless require maintenance including cleaning combustion parts yearly, de-lime heat exchanger frequently, and clean water filter each month.
http://waterheatertimer.org/pdf/Tankless-maintenance.pdf
http://waterheatertimer.org/pdf/Bosch_Overcoming_fluctuating_temps.pdf
http://waterheatertimer.org/Troubleshoot-Rheem-Tankless-water-heater.html

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that's a faucet problem, nothing to do with the tank
either replace the faucet washer (The one that's noisy)
or get a diffeent style faucet

this is a problem they didn;t tell any one about, there is a min of 1 gpm that you have to run for it to sence for the unit to come on, if not the unit will not detect the water is even runnig there for will not come on,, as for the kit faucet, it might have a temp control and it may need to have a cartridge change, the water comming from the tankless is nothing like the old tank heater, the water only losses aprox 1 or 2 degree where a tank heater losses almost 5 or more because of the way the cold water is fed into the unit,, thats whay the sprayer works and the faucet doesn't ,, you have control on the sprayer unlike turning the faucet on,,

Do you have water at that faucet on the hot side? What if you run it a long time? All hot faucets or just one? Which one. The one farest from the heater? 

I found a way to get warm water in the shower, but I'm not sure it qualifies as a solution. After trying everything else I thought that maybe when I was feathering the faucet in the shower toward the cold side so I would get warm water that at a certain point it blocked the flow on the hot water side enough so that the sensor in the hot water heater sensed there was no demand in the line and it shut the water heater off. To test this, I went to the kitchen and turned the kitchen sink faucet all the way to the hot side and then turned it on so that I got a small flow of water. I waited for the water to get hot to be sure the hot water heater was working. Once it was hot, I left it running to keep demand in the line and then I went to the shower and turned the faucet on. When the water got hot I started feathering the control towards the cold side and soon I had warm water. So I think I'm right in that the sensor in the hot water heater was shutting the water heater off when the demand in the shower was lowered to a certain point when I was trying to adjust the water temp in the shower.

So now I can get warm water, but it means I have to leave the hot water running at another fixture in the house to create a false demand in the system so the hot water heater doesn't shut down. Is there a way to adjust the senor in the hot water heater so that it will stay on when I'm using the shower only, so I don't have to waste water by running another faucet when I want to take a shower?