You are wise not to have asked on the electrics forum as half the world would have automatic responders which would tell you this is notifyable but I see it's a lot more civilised on here so I won't mention it.
If it's notifyable (allegedly) then there should be an approved document, and there is (allegedly)
www.planningportal.gov.uk/uploads/br/BR_PDF_ADH_2004_NEW.pdf
If you look at Approved Document H, Table 2 it gives maximum lengths of pipe for unventilated runs (which it looks like yours is)
With 30mm pipe you can have 1.7m
With 40mm pipe you can have 3.0m
With 50mm pipe you can have 4.0m
More than 4m you are up to 75mm pipe and if you are at 7m you are well past that.
We have an ensuite with two sinks which are drained by a single 40mm pipe which has a 3.5m run until it gets to 100mm soil pipe. I can hear it syphoning the second sink when you empty the first, so it's more than just theory.
You might be looking at replacing that horrible horizontal (ish) pipe with 100mm and draining your three appliances into that using 40mm. Easier to clear it too if you get blockage. But even then, strictly speaking, you might be out of spec and be looking at an internal stack with a AAv but that is becoming a bit anal I would say.
So just do it so it works and don't tell the guvmint owt. Just like the best advice on the electrics forum should be.
If it's notifyable (allegedly) then there should be an approved document, and there is (allegedly)
www.planningportal.gov.uk/uploads/br/BR_PDF_ADH_2004_NEW.pdf
Max length of pipe from sink to stack is circa 7m. The internal waste is all inch and a half.
If you look at Approved Document H, Table 2 it gives maximum lengths of pipe for unventilated runs (which it looks like yours is)
With 30mm pipe you can have 1.7m
With 40mm pipe you can have 3.0m
With 50mm pipe you can have 4.0m
More than 4m you are up to 75mm pipe and if you are at 7m you are well past that.
We have an ensuite with two sinks which are drained by a single 40mm pipe which has a 3.5m run until it gets to 100mm soil pipe. I can hear it syphoning the second sink when you empty the first, so it's more than just theory.
You might be looking at replacing that horrible horizontal (ish) pipe with 100mm and draining your three appliances into that using 40mm. Easier to clear it too if you get blockage. But even then, strictly speaking, you might be out of spec and be looking at an internal stack with a AAv but that is becoming a bit anal I would say.
So just do it so it works and don't tell the guvmint owt. Just like the best advice on the electrics forum should be.