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There is a rope of length 500 m running from north to south. 2 insects are dropped onto the rope. Assume that each insect lands on the rope facing either north or the south direction. As soon as they land, each insect starts moving in the direction which is being faced by it at 125 metre/minute till it falls off the string. But if an insect collides with another insect coming from the opposite direction, both of them reverse their directions and proceed to move now in the opposite directions. Insects fall off only at either of the two ends of the string. What is the time by which the string will definitely be free of insects?
- a)2 min
- b)4 min
- c)8 min
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
There is a rope of length 500 m running from north to south. 2 insects...
The maximum time will be taken when the two insects start from the two ends of the rope towards each other and meet in the middle. Time taken by each insect = 250/125 = 2 minutes
After their collision at the middle they will reverse their direction and reach their respective ends in another 2 minutes.
Hence, the time in which the rope will definitely be free of any insects = 2 + 2 = 4 minutes
After their collision at the middle they will reverse their direction and reach their respective ends in another 2 minutes.
Hence, the time in which the rope will definitely be free of any insects = 2 + 2 = 4 minutes
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There is a rope of length 500 m running from north to south. 2 insects...
Analysis:
The insects will keep moving back and forth until they fall off at one of the ends of the rope. We need to determine the time at which the rope will be free of insects.
Initial Scenario:
- Insect 1 starts at the north end and Insect 2 starts at the south end of the 500m rope.
- Insect 1 moves at 125m/min towards the south, and Insect 2 moves at 125m/min towards the north.
Collision and Reversal:
- Insect 1 and Insect 2 will collide at the midpoint of the rope after 2 minutes.
- Both insects will reverse their directions after the collision.
Revised Scenario:
- Insect 1 will now move towards the north, and Insect 2 will move towards the south.
- They will collide again at the ends of the rope after another 2 minutes.
- Both insects will fall off the rope after 4 minutes.
Therefore, the time by which the rope will definitely be free of insects is 4 minutes (option B).
The insects will keep moving back and forth until they fall off at one of the ends of the rope. We need to determine the time at which the rope will be free of insects.
Initial Scenario:
- Insect 1 starts at the north end and Insect 2 starts at the south end of the 500m rope.
- Insect 1 moves at 125m/min towards the south, and Insect 2 moves at 125m/min towards the north.
Collision and Reversal:
- Insect 1 and Insect 2 will collide at the midpoint of the rope after 2 minutes.
- Both insects will reverse their directions after the collision.
Revised Scenario:
- Insect 1 will now move towards the north, and Insect 2 will move towards the south.
- They will collide again at the ends of the rope after another 2 minutes.
- Both insects will fall off the rope after 4 minutes.
Therefore, the time by which the rope will definitely be free of insects is 4 minutes (option B).
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There is a rope of length 500 m running from north to south. 2 insects are dropped onto the rope. Assume that each insect lands on the rope facing either north or the south direction. As soon as they land, each insect starts moving in the direction which is being faced by it at 125 metre/minute till it falls off the string. But if an insect collides with another insect coming from the opposite direction, both of them reverse their directions and proceed to move now in the opposite directions. Insects fall off only at either of the two ends of the string. What is the time by which the string will definitely be free of insects?a)2 minb)4 minc)8 mind)None of theseCorrect answer is option 'B'. Can you explain this answer?
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There is a rope of length 500 m running from north to south. 2 insects are dropped onto the rope. Assume that each insect lands on the rope facing either north or the south direction. As soon as they land, each insect starts moving in the direction which is being faced by it at 125 metre/minute till it falls off the string. But if an insect collides with another insect coming from the opposite direction, both of them reverse their directions and proceed to move now in the opposite directions. Insects fall off only at either of the two ends of the string. What is the time by which the string will definitely be free of insects?a)2 minb)4 minc)8 mind)None of theseCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There is a rope of length 500 m running from north to south. 2 insects are dropped onto the rope. Assume that each insect lands on the rope facing either north or the south direction. As soon as they land, each insect starts moving in the direction which is being faced by it at 125 metre/minute till it falls off the string. But if an insect collides with another insect coming from the opposite direction, both of them reverse their directions and proceed to move now in the opposite directions. Insects fall off only at either of the two ends of the string. What is the time by which the string will definitely be free of insects?a)2 minb)4 minc)8 mind)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a rope of length 500 m running from north to south. 2 insects are dropped onto the rope. Assume that each insect lands on the rope facing either north or the south direction. As soon as they land, each insect starts moving in the direction which is being faced by it at 125 metre/minute till it falls off the string. But if an insect collides with another insect coming from the opposite direction, both of them reverse their directions and proceed to move now in the opposite directions. Insects fall off only at either of the two ends of the string. What is the time by which the string will definitely be free of insects?a)2 minb)4 minc)8 mind)None of theseCorrect answer is option 'B'. Can you explain this answer?.
There is a rope of length 500 m running from north to south. 2 insects are dropped onto the rope. Assume that each insect lands on the rope facing either north or the south direction. As soon as they land, each insect starts moving in the direction which is being faced by it at 125 metre/minute till it falls off the string. But if an insect collides with another insect coming from the opposite direction, both of them reverse their directions and proceed to move now in the opposite directions. Insects fall off only at either of the two ends of the string. What is the time by which the string will definitely be free of insects?a)2 minb)4 minc)8 mind)None of theseCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There is a rope of length 500 m running from north to south. 2 insects are dropped onto the rope. Assume that each insect lands on the rope facing either north or the south direction. As soon as they land, each insect starts moving in the direction which is being faced by it at 125 metre/minute till it falls off the string. But if an insect collides with another insect coming from the opposite direction, both of them reverse their directions and proceed to move now in the opposite directions. Insects fall off only at either of the two ends of the string. What is the time by which the string will definitely be free of insects?a)2 minb)4 minc)8 mind)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a rope of length 500 m running from north to south. 2 insects are dropped onto the rope. Assume that each insect lands on the rope facing either north or the south direction. As soon as they land, each insect starts moving in the direction which is being faced by it at 125 metre/minute till it falls off the string. But if an insect collides with another insect coming from the opposite direction, both of them reverse their directions and proceed to move now in the opposite directions. Insects fall off only at either of the two ends of the string. What is the time by which the string will definitely be free of insects?a)2 minb)4 minc)8 mind)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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