Charles Spurgeon Commentary 1 Kings 17:2-3

"And the word of Jehovah came unto him, saying, Get thee hence, and turn thee eastward, and hide thyself by the brook Cherith, that is before the Jordan." — 1 Kings 17:2-3 (ASV)

Of course, the prophet would have had to share in the general scarcity unless God had provided for him, and therefore the Lord took care that His servant should be hidden away where a brooklet would continue to run after the moisture had departed from other places.