SOLUTION: A carpet is 22' across. A man walked across. Each step forward or backward covered 2'. He walked 3 steps forward and 2 backward, 1 step each sec. Determine amt. of time to cross

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A carpet is 22' across. A man walked across. Each step forward or backward covered 2'. He walked 3 steps forward and 2 backward, 1 step each sec. Determine amt. of time to cross      Log On

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Question 1206275: A carpet is 22' across. A man walked across. Each step forward or backward covered 2'. He walked 3 steps forward and 2 backward, 1 step each sec. Determine amt. of time to cross.
Unsure how to solve.

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


In the first 5 seconds, he takes 5 steps -- 3 forward and 2 backward; he traveled 6 feet forward and 4 feet back, ending up 2 feet from his starting point.

That continues for 8 cycles, taking 8*5 = 40 seconds, leaving him 16 feet from the start.

In the next 3 seconds, he moves 6 feet forward, reaching 22 feet from the start, which is the other side of the carpet, so he is done.

ANSWER: 40+3 = 43 seconds