Question

A drunkard is walking along a straight road. He takes 5 steps forward and 3 steps backward, followed by 5 steps forward and 3 steps backward and so on. Its shape is 1 m long and takes 1 second. There is a pit on the road 11 m away from the starting point. After how many seconds will he fall into the pit?
a) 21 s
b) 29 s
c) 31 s
d) 44 s

Answer 1

it travel 2 m in 8 steps..
so,
1 m=8/2steps
and then for 11 m=8/2×11steps=88/2=44 step
so for
44 steps it will take 44 sec.

Answer 2

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Distance covered with 1 step = 1 m

Time taken = 1 s

Time taken to move first 5 m forward = 5 s

Time taken to move 3 m backward = 3 s

Net distance covered = 5 – 3 = 2 m

Net time taken to cover 2 m = 8 s

Drunkard covers 2 m in 8 s.

Drunkard covered 4 m in 16 s.

Drunkard covered 6 m in 24 s.

Drunkard covered 8 m in 32 s.

In the next 5 s, the drunkard will cover a distance of 5 m and a total distance of 13 m and falls into the pit.

Net time taken by the drunkard to cover 13 m = 32 + 5 = 37 s

I hope, this will help you

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