How many years did it take for children of israel to reach the promised land from the day the Lord put his word in the mouth of balaam?
It took less than a year. The prophecy of Balaam was given during the fortieth year of the Children of Israel’s sojourn in the wilderness, and the entry into the Promised Land came soon after.
Sources: Aharon dies in chap. 20 of Numbers, before the episode of Balaam, which must therefore have been in the fortieth year.