Question

Which of the following are in inverse proportion?
I.The number of workers on a job and the time to complete the job.
II.The time taken for a journey and the distance travelled in a uniform speed.
III. Area of cultivated land and the crop harvested.
IV. The time taken for a fixed journey and the speed of the vehicle.
V. The population of a country and the area of land per person.

Answer 1

Hint: We can answer this inverse proportion by knowing that if a quantity changes, due to this change if the other quantity is also changed oppositely or inversely then it is in inverse proportion.

Complete step-by-step answer:
We will check the answer one by verifying that the quantity changes in inverse relation or direct relation.
Each part one by one
(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 the vehicle will be the speed of the vehicle, the distance will be covered in less 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.

Note: Students must not get confused the more will be the speed the time taken will be less while the distance travelled will be more. check each separately, remember no options has a link or connection with each other.