On a ranch in Franklin, a herd of cattle is moving due east at a rate of 1 kilometer per hour. One of the ranch hands is already further to the east. He rides due west, towards the herd, to round them up. If the ranch hand started out 3 kilometers away from the herd and is riding 8 kilometers per hour, how long will it be before he meets the herd? If necessary, round your answer to the nearest minute.