An insect crawls on a piller 35m, it ascends 5m in the first minute but slips down 3m in the next minutes if it continous crawling in this way. what time it will take to reach at tha top of the pillar?
Every 1+1=2 minutes it gains 5-3=2 meters. So, after 30 minutes it has moved 30 meters.
In minute 31 it climbs the last 5 meters and is done.
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To determine the time it will take for the insect to reach the top of the pillar, we can calculate the net distance it covers in each minute.
In the first minute, the insect ascends 5m. So, after the first minute, the insect is at a height of 5m.
In the second minute, the insect slips down 3m. Therefore, after the second minute, the insect is at a height of 5m - 3m = 2m.
The pattern continues with the insect ascending 5m in the third minute, bringing its height to 2m + 5m = 7m.
Similarly, in the fourth minute, the insect slips down 3m, reaching a height of 7m - 3m = 4m.
By analyzing this pattern, we can observe that the insect ascends 5m in every two minutes (1 minute of ascent and 1 minute of descent).
To reach a height of 35m, the insect would need to ascend 35m - 5m = 30m.
Since the insect ascends 5m every two minutes, it would take the insect (30m / 5m) * 2 minutes = 12 minutes to reach a height of 35m.
Therefore, it will take the insect 12 minutes to reach the top of the pillar.
To determine the time it will take for the insect to reach the top of the pillar, we need to calculate how many minutes it takes for the insect to cover the remaining vertical distance after each ascent and slip.
Since the insect ascends 5m in the first minute, the remaining vertical distance it needs to cover is 35m - 5m = 30m.
From here, we can calculate that the insect covers 5m - 3m = 2m of distance in each minute (ascends 5m, slips down 3m).
To cover 30m at a rate of 2m per minute, it will take 30m / 2m = 15 minutes.
Therefore, it will take the insect 15 minutes to reach the top of the pillar.