Government hotel rates only apply to federal employees on official government business. Same rate offered to military personnel and their dependents, as well as members of certain government/military associations on business or leisure travel.
354,982 km / 70 km per day = 5071 days.
Jerusalem is located around 424 KM away from Egypt so if you travel at the consistent speed of 50 KM per hour you can reach Egypt in 8.49 hours.