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A drunkard is walking along a straight r...

A drunkard is walking along a straight road. He takes five steps forward and three steps backward and so on. Each step is `1 m` long and takes `1 s`. There is a pit on the road `11 m`, away from the starting point. The drunkard will fall into the pit after.

A

21 s

B

29 s

C

31 s

D

41 s

Text Solution

Verified by Experts

The correct Answer is:
B
Displacement in first cight steps `= 5 m - 3m = 2m`
Time taken for first eight steps = 8 s
Time taken by drunkard to cover first six metres of journey
`=(8)/(2) xx 6 = 24 s`
If the drunkard takes 5 steps more, he will fall into the pit so the time taken by the drunkard to cover last five steps - 5 s.
Total time taken `=24 s = 5s = 29 s`
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