A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?
A farmer has enough food to feed 20 animals in his cattle for 6 days.
More the number of animals, the lesser will be the number of days food lasts.
Therefore, the number of animals and number of days are inversely proportional to each other.
20 × 6 = 30 × x
→x = 4 days
Now, food will last in 4 days.
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.
Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table.
(i) Are the number of spokes and the angles formed between the pairs ofconsecutive spokes in inverse proportion?
(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15spokes.
(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is 40°?