Question

Which of the following are in inverse proportion?

• A. The number of workers on a job and the time to complete the job.
• B. The time is taken for a journey and the distance traveled at a uniform speed.
• C. Area of cultivated land and the crop harvested.
• D. The time is taken for a fixed journey and the speed of the vehicle.
• E. The population of a country and the area of land per person.

Answer 1

Answer: (A), (D), (E)

The population of a country and the area of land per person.

Determine the inverse proportion.

For point A)

It is Inversely proportional because a larger number of workers can finish the project in less time, the number of workers is inversely related to the time to finish the job.

For point B)

It is Directly proportional because the longer we drive the automobile, the farther it will travel, therefore they are exactly proportional.

For point C)

It is Directly proportional because we have more crops to harvest as we farm more land, thus they are exactly proportionate.

For point D)

It is Inversely proportional because when we raise our speed, we may get to our goal in less time; hence, increasing the speed will surely reduce the time required; thus, they are inversely proportional.

For point E)

It is Inversely proportional because the area of land per person decreases as the country's population grows, hence they are inversely proportional.

Hence, the correct choice is “Option A, Option D, and Option E”.