The fastest way to clean a hot tub is to first remove any debris from the water. Using a soft damp cloth clean any marks from the sides of the tub, and wipe the control panel and pillows. Wipe down the cover, too.
You should also check the levels using test strips and add chemicals as necessary. Remove and rinse the filter with a garden hose to get rid of any debris and replace.
Bear in mind that speed cleaning should not replace deep cleaning which should be carried out every few months.