An ant is at point A of a segment AB ,having length 12 . The ant. moves as follows: first it moves 3 units towards B then , then it moves 2 units towards A ; again moves 3 units towards B then , then it moves 2 units towards A, and so on. Find the total distance traveled by the ant, when it reaches point B for the first time ?
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let the negative sigh be the move towards a
and positive sign be the move towards b
first it moves +3-2 = 1
in First pattern it moves 1 units towards b
with t steps
so to reach b it needs 9 pattern with 45 steps in Addition to 3 more steps
hence the total distance travelled is 48 units
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