(Solved): A lighthouse is located on a small island 3km away from the nearest point P on a straight shorel ...

A lighthouse is located on a small island $$3\mathrm{km}$$ away from the nearest point $$P$$ on a straight shoreline and its light makes four revolutions per minute. How fast (in km/min) is the beam of light moving along the shoreline when it is $$1\mathrm{km}$$ from $$P$$ ? (Round your answer to one decimal place.) $$\mathrm{km}/\min$$