Brain teaser 2

Algebra Level 3

A drunkard is walking along a straight road. He takes 5 steps forward and 3 steps backwards, followed by 5 steps forward and 3 steps backwards and so on.Each step is 1 meter long and takes 1 second.There is a pit on the road 111meter away from the starting point then drunkard will fall into the pit after how many seconds:---


The answer is 429.

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1 solution

5 m forward followed by 3 m backward = 8 seconds, but only 2 meter.
Then, to reach 106 meter, time needed is 106 2 x 8 = 424 \frac{106}{2} x 8 = 424 seconds. The pit is 5 meter away. Thus, the drunkard will fall after 424 + 5 = 429 m e t e r \boxed{ 429 meter }

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