You have options to complete your Everest base camp trek in a shorter time if you are willing to spend some more money. One option is to trek up to Everest base camp and then fly back on a helicopter, either up to Lukla or Kathmandu. Another option is to first fly to the base camp and then return to Lukla trekking. But, we do not recommend the latter option as you will be exposed to a very high altitude which has a high chance of making you sick. Besides these, you can cut down on your acclimatization days, which is another thing that we do not recommend at all.
