Road rules2 mins ago
Kitchen sink water pressure
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For more on marking an answer as the "Best Answer", please visit our FAQ.I've had the same problem but, as per Tweed's answer, it would be a coincidence in both taps at the same time.
Mine was caused by the inner workings of the tap wearing away over time. There is a brass clip that hold part of the tap up while the screw thread inside draws the washer up from the seat over the pipe. If the clip loses its springiness it allows the top part off the tap to drp and thus the screw thread lower doesn't draw up the washer as far. This can continue until the washer isn't lifted at all and eventually no flow will be allowed at all. This progression was accompanied by the tap becoming more and more stiff to the turn.
By way of a stop-gap, you can delay the inevitable by taking off the actual "handle" part and (having first turned off the water at the main and/or the tank) removing the guts of the tap - it should just unscrew. you can re-bend the clip a couple of times (any more and it will eventually break) and oil/grease the innards to allow them to move more easily.
Eventually you will either have to replace the taps or you can buy just the moving parts and the top to save you having to interfere with the plumbing. These replacements are available in many DIY stores but I found the widest selection in B&Q. It's really quite easy to do but, personally, I didn't manage to find a replacement to fit - I apparently have some obscure fittings.
I hope this helps.