How much time did it take from בלק started his campaign against ישראל untill בלעם arrived to the camp of the בני ישראל?

First we find four journeys from Pethor to Balak=Moav. Balak sent messengers to Bilaam,they came back.Balak sent again ,finally he arrived to Arnon.We shall assume that you can travel 25 miles per day with a donkey.Look at attached map it is a 600 mile journey -from top of Eufrates=פרת (home of בלעם )

to Amman=ארנון .So we have a 2400 mile journey or 100 days= 3.5 months!