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all right so letamp;#39;s take a look at a related rate problem alright so weamp;#39;ve got a boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is one meter higher than the bow of the boat if the Rope is pulled in at a rate of one meter per second how fast is the boat approaching the dock when it is eight meters from the dock all right so first letamp;#39;s draw a picture all right so weamp;#39;ve got the boat is approaching the dock okay the boat here is approaching the dock we donamp;#39;t know what the distance is that distance is going to be constantly changing so weamp;#39;ll just call that X we know the pulley is one meter higher than the bow of the boat so if this is the bow of the boat this would be one meter and then the length of the rope well weamp;#39;re pulling that in so that distance is going to be changing also weamp;#39;ll call that Y all right so here weamp;#39;ve got weamp;#39;ve got the rope