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A drunkard is walking along a straight road. He takes 5 steps forward and 3 steps backward and so on. Each step is 1m long and takes 1s. 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)
    37 s
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A drunkard is walking along a straight road. He takes 5 steps forward ...
Displacement in first eight steps = (5 - 3) m = 2 m
Time taken for first eight steps = 8 s
Time taken by the drunkard to cover first 6 m of journey = 8/2 * 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 + 5 s = 29 s
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Community Answer
A drunkard is walking along a straight road. He takes 5 steps forward ...
Solution:

The drunkard moves 5m forward and 3m backward in each cycle. Therefore, after each cycle, he moves 2m forward.

Let's calculate the time taken by the drunkard to reach the pit.

1st cycle: 5m forward
2nd cycle: 3m backward
3rd cycle: 5m forward
4th cycle: 3m backward
5th cycle: 5m forward
6th cycle: 3m backward
7th cycle: 5m forward
8th cycle: 3m backward
9th cycle: 5m forward
10th cycle: 3m backward
11th cycle: 5m forward

The drunkard has covered 11m in 21 seconds. Therefore, option A is incorrect.

Let's check the remaining options.

12th cycle: 3m backward
13th cycle: 5m forward
14th cycle: 3m backward
15th cycle: 5m forward
16th cycle: 3m backward
17th cycle: 5m forward
18th cycle: 3m backward
19th cycle: 5m forward
20th cycle: 3m backward
21st cycle: 5m forward
22nd cycle: 3m backward
23rd cycle: 5m forward
24th cycle: 3m backward
25th cycle: 5m forward
26th cycle: 3m backward
27th cycle: 5m forward
28th cycle: 3m backward
29th cycle: 5m forward

The drunkard has covered 29m in 29 seconds. Therefore, option B is correct.

Therefore, the drunkard will fall into the pit after 29 seconds.

Note: The drunkard will fall into the pit when he takes his 30th step forward.
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A drunkard is walking along a straight road. He takes 5 steps forward and 3 steps backward and so on. Each step is 1m long and takes 1s. There is a pit on the road 11 m away from the starting point. The drunkard will fall into the pit after:a)21 sb)29 sc)31 sd)37 sCorrect answer is option 'B'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A drunkard is walking along a straight road. He takes 5 steps forward and 3 steps backward and so on. Each step is 1m long and takes 1s. There is a pit on the road 11 m away from the starting point. The drunkard will fall into the pit after:a)21 sb)29 sc)31 sd)37 sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A drunkard is walking along a straight road. He takes 5 steps forward and 3 steps backward and so on. Each step is 1m long and takes 1s. There is a pit on the road 11 m away from the starting point. The drunkard will fall into the pit after:a)21 sb)29 sc)31 sd)37 sCorrect answer is option 'B'. Can you explain this answer?.
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