Q. 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 traveled 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.


(i) The number of workers on a job and the time taken for them to complete the job.
This is Inversely proportional
Because more workers are going to complete the work in less time.
Therefore, the amount of workers is inversely proportional to the time taken to finish the work .
(ii) The time taken for a journey and the distance traveled in a uniform speed.
This is Directly proportional
Because if we increase the time for which we drive the car, the distance traveled will increase too,So these are directly proportional.
(iii) Area of cultivated land and the crop harvested.
This is Directly proportional
Because if we increase the amount of land we are cultivating, we will have more crops to harvest, So, these are directly proportional.
(iv) The time taken for a fixed journey and the speed of the vehicle.
This is Inversely proportional
Because as the speed of the vehicle increases, we will reach our destination in less time, So, increasing the speed of the vehicle will definitely decrease the time taken for a fixed journey, So these are inversely proportional.
(v) The population of a country and the area of land per person.
This is Inversely proportional
Because as the population of a country increases, then the area of land per person decreases, So, these are inversely proportional.
Final Answer:Option (i) , (iv) and (v) are in inverse proportion.