Question

Which of the following statements are of inverse variation ?
1 Number of women clearing a patch of land and time taken by them to clear the land .
2 Number of buckets of same size used to empty a tank and time taken to empty the tank .
3 Number of students planting saplings in a tree plantation drive and area of land planted in an hour .
4 Number of bottles of one litre filled by a tap and time required to fill all the bottles .







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Answer 1

Step-by-step explanation:

(i) We know that more is the number of workers to do a job, less is the time taken to finish the job.

So, it is a case of inverse proportion.

(ii) Considering uniform speed, as the distance to be travelled increases, the time taken to cover it will also increase.

So, this is a case of direct variation.

(iii) Clearly, more is the area of cultivated land, more is the crop harvested.

So, it is a case of direct proportion.

(iv) We know that the more will be the speed of the vehicle, the distance will be covered in lesser time.

So, it is a case of inverse proportion.

(v) Clearly, more is the population, less is the area of land per person in a country.

So, it is a case of inverse proportion.