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I just installed an American Standard kitchen faucet and it continues to run for a second or two after turning the handle. I called AS and they said it is because of the high arch and the location of the stop valve lower in the fixture. I think it may have more to do with this being a lower end kitchen faucet. During a bathroom remodel we installed a high arch Pegasus bathroom faucet and, while it is admittedly not at high as the kitchen faucet, it stop immediately and doesn't continue to run/drop at all. When I removed the Pegasus faucet filter at the spout, it behaves just like the kitchen faucet, so there's some sort of stop valve element at the spout of the Pegasus that isn't part of the AS faucet.
opposite
A faucet aerator is usually attached to the end of a faucet.
Where the drain is in relation to the skirt
I just had to answer this exact question for one of my plumbers. There should always be about a 1" gap between the top of the sink and the bottom of the faucet. If it is any higher, then the water will splash out of the sink. Also the end of the faucet must go directly over the drain.
There are two! One by the oil filter cap and the other is at the opposite end of the crankcase. They don't look like drain plugs, but they are.
check the screen on the end of the faucet
There is a fitting available that you put on the end of the faucet. Take the screen off the end of the spout and this fitting screws on. It is like a quick connect for an air hose if you are familiar with that.
Normally at the end of the faucet spout
You have to have a faucet that has threads like you find on the outdoor faucet. Some have them and some don't. If you're trying to attach a hose meant for indoor faucets, you'll have to remove the aerator (the small nozzle on the end of the faucet) so you can screw the hose onto the faucet.
YES
If the floor is wood, cut a notch in the floor and joist to run the drain to the other end and connect it to the existing pipe. The supply lines are usually on the same end as the drain so this will be a little odd. They could be routed around the tub below the edge to get them to the other end. Another thing to consider, you will have to be able to reach the end of the tub once it is in place to connect the drain. Is there access through a hole or is the underneath open to a basement or crawlspace? If the left hand side is an exterior wall or the bath is on the second floor, there is no easy way to access it.