Take a 15-minute break. Check emails, call a friend, read another chapter of your book. Allow the hot, soapy water to do its magic!
After 15 minutes, sponge the glasses & dishes, rinse with HOT water
And put in the dish drainer (leaving silverware in the sink.)
Now add the plastics & enough HOT water to cover them.
After another 15 minute break, put dry glassware & dishes in cabinets