The quickest way to get from Israel to Tanzania by plane will take about 12h 56m and departs from Ben Gurion International Airport (TLV) and arrives into Kilimanjaro International Airport (JRO). There are flights departing every 1-2 days on this route. Ethiopian Airlines is one of the carriers that operates regular services on this route with flights departing every 1-2 days.
This is an ideal way to cut down the costs as travelers in the group share the expenses on fuel, guides, etc. and at the same time share the experience with new friends.