Lack of proper venting is a common problem.
One way to open a slow kitchen drain is by using a plunger on the drain. If the drain is still slow put some baking soda and vinegar in the drain to loosen any debris that remain in the drain.
Partial clog or not enough or proper venting. If it is a single sink, there may not be a vent to it. On a double sink, one side vents from the other. On a single the water is trying to push past the air in the drain.
You did not clear the entire clog the first time, which is why it became clogged again so soon. Try the snake again but afterward flush the drain with really hot water. You may be able to use commercial clog cleaners...but before you go to that expense (and environmentally damaging option) try the flushing with hot water and/or using some baking soda and vinegar. Good Luck!
Kitchen sink drains are a fertile environment for certain forms of life, and these can cause the drain to run slow. When hot water is run down the drain, it kills some of the lifeforms, allowing the drain to run freely for a while. Try using a drain cleaner, or a drain snake, to clean out the drain. Never pour grease down a drain, as it cools and solidifies quickly in the pipes.
== == If there is a loud gurgling noise, it may indicate that the vent is blocked/clogged, and the water in the trap is getting siphoned back down the drain as the water drains... start at the trap at sink remove it to clean. then if not that maybe snake not reaching the clog longer snake may be needed
Not all drain guys are qualified such as many franchise companies only give the non skilled 6 weeks of so called training.=Also it depends on the PSI /GPM and what other causes are restricting the flow=
BAD Venting
YES!
yes
That may be the worst example I've ever seen. I may be slow, but I will complete the task. The source of the leak may be the drain in the sink.
Ice wedging would help slow chemical weathering and make the soil more fertile.
Because both sides of your sink are connected to a common drain line, and the common drain line is slow.