Tony’s spider

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Tony has an old sticky toy spider that very slowly goes down a wall after being stuck to the wall. In fact, left untouched, the toy spider crawls down at a rate of one inch for every two hours it’s left stuck to the wall. One morning, at around 9 o’ clock, Tony sticks the spider to the wall in the living room three feet above the floor. Over the next few mornings, Tony moves the spider up three feet from the point where he finds it. If the wall in the living room is 9 feet high, after how many days ,days after the first day Tony places the spider on the wall, will Tony run out of room to place the spider three feet higher?

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