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An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?
- a)18 hours
- b)17 hours
- c)16 hours 35 minutes
- d)16 hours 40 minutes
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
An ant climbing up a vertical pole ascends 12 meters and slips down 5 ...
The ant would cover 7 × 8 = 56 meters in 16 hours.
Further, it would require 7/12 of the 17th hour to reach the top.
Thus time required = 16 hours 35 minutes
Further, it would require 7/12 of the 17th hour to reach the top.
Thus time required = 16 hours 35 minutes
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Community Answer
An ant climbing up a vertical pole ascends 12 meters and slips down 5 ...
Given information:
- The ant climbs up 12 meters and slips down 5 meters in every alternate hour.
- The height of the pole is 63 meters.
To find:
- How long will it take for the ant to reach the top of the pole?
Approach:
1. Calculate the net distance covered by the ant in each 2-hour period.
2. Divide the total height of the pole by the net distance covered to find the number of 2-hour periods required.
3. Convert the number of 2-hour periods into hours and minutes.
Solution:
Step 1: Calculate the net distance covered by the ant in each 2-hour period.
- In the first 2 hours, the ant climbs up 12 meters.
- In the next 2 hours, the ant climbs up 12 meters - slips down 5 meters = 7 meters.
- In the next 2 hours, the ant climbs up 12 meters.
- In the next 2 hours, the ant climbs up 12 meters - slips down 5 meters = 7 meters.
So, in every 4-hour period, the ant covers a net distance of 12 + 7 + 12 + 7 = 38 meters.
Step 2: Divide the total height of the pole by the net distance covered to find the number of 4-hour periods required.
- Total height of the pole = 63 meters.
- Number of 4-hour periods required = 63 meters / 38 meters = 1.6579.
Step 3: Convert the number of 4-hour periods into hours and minutes.
- The whole number part represents the number of complete 4-hour periods, which is 1.
- The decimal part represents the remaining time, which is 0.6579.
- Convert the decimal part into minutes: 0.6579 * 60 = 39.474 minutes.
Therefore, the ant will take 1 complete 4-hour period (or 16 hours) and approximately 39 minutes to reach the top of the pole.
Final answer:
The ant will take approximately 16 hours and 39 minutes to reach the top of the pole. Hence, option C is the correct answer.
- The ant climbs up 12 meters and slips down 5 meters in every alternate hour.
- The height of the pole is 63 meters.
To find:
- How long will it take for the ant to reach the top of the pole?
Approach:
1. Calculate the net distance covered by the ant in each 2-hour period.
2. Divide the total height of the pole by the net distance covered to find the number of 2-hour periods required.
3. Convert the number of 2-hour periods into hours and minutes.
Solution:
Step 1: Calculate the net distance covered by the ant in each 2-hour period.
- In the first 2 hours, the ant climbs up 12 meters.
- In the next 2 hours, the ant climbs up 12 meters - slips down 5 meters = 7 meters.
- In the next 2 hours, the ant climbs up 12 meters.
- In the next 2 hours, the ant climbs up 12 meters - slips down 5 meters = 7 meters.
So, in every 4-hour period, the ant covers a net distance of 12 + 7 + 12 + 7 = 38 meters.
Step 2: Divide the total height of the pole by the net distance covered to find the number of 4-hour periods required.
- Total height of the pole = 63 meters.
- Number of 4-hour periods required = 63 meters / 38 meters = 1.6579.
Step 3: Convert the number of 4-hour periods into hours and minutes.
- The whole number part represents the number of complete 4-hour periods, which is 1.
- The decimal part represents the remaining time, which is 0.6579.
- Convert the decimal part into minutes: 0.6579 * 60 = 39.474 minutes.
Therefore, the ant will take 1 complete 4-hour period (or 16 hours) and approximately 39 minutes to reach the top of the pole.
Final answer:
The ant will take approximately 16 hours and 39 minutes to reach the top of the pole. Hence, option C is the correct answer.
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An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?a)18 hoursb)17 hoursc)16 hours 35 minutesd)16 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer?
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An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?a)18 hoursb)17 hoursc)16 hours 35 minutesd)16 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?a)18 hoursb)17 hoursc)16 hours 35 minutesd)16 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?a)18 hoursb)17 hoursc)16 hours 35 minutesd)16 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer?.
An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?a)18 hoursb)17 hoursc)16 hours 35 minutesd)16 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?a)18 hoursb)17 hoursc)16 hours 35 minutesd)16 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?a)18 hoursb)17 hoursc)16 hours 35 minutesd)16 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer?.
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An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?a)18 hoursb)17 hoursc)16 hours 35 minutesd)16 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?a)18 hoursb)17 hoursc)16 hours 35 minutesd)16 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of An ant climbing up a vertical pole ascends 12 meters and slips down 5 meters in every alternate hour. If the pole is 63 meters high how long will it take it to reach the top?a)18 hoursb)17 hoursc)16 hours 35 minutesd)16 hours 40 minutesCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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