Question 01.
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.

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Solution

(i) The number of workers and the time to complete the job is in inverse proportion because less workers will take more time to complete a work and more workers will take less time to complete the same work.

(ii) Time and distance covered are in direct proportion because as time increases distance covered also increases.

(iii) It is a direct proportion because more area of cultivated land will yield more crops.

(iv) Time and speed are in inverse proportion because if time taken to cover a certain distance is less, then the speed has to be more.

(v) It is a inverse proportion. If the population of a country increases, the area of land per person decreases.

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Similar questions

Question 01.
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.

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 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.

Question 60

In questions which of the following vary directly and which vary inversely with each other and which are neither of the two?
(i) The time taken by a train to cover a fixed distance and the speed of the train.
(ii) The disatnce travelled by CNG bus and the amount of CNG used.
(iii) The number of people working and the time to complete a given work.
(iv) Income tax and the income.
(v) Distance travelled by an auto-rickshaw and time taken.

Q. Which of the following statements are of inverse variation?
(1) Number of workers on a job and time taken by them to complete the job.
(2) Number of pipes of same size to fill a tank and the time taken by them to fill the tank.
(3) Petrol filled in the tank of a vehical and its cost
(4) Area of circle and its radius.

Question 60

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Application of Inverse Proportionality

Standard IX Mathematics

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