Ex 11.2, 5 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?Given,
Food is given to 20 animals for 6 days
If there were 10 more animals in his cattle,
Total number of animals = 20 + 10 = 30.
We need to find how long the food will last
Let the food last for 𝒙 days
Thus, our table looks like
As we increase the number of animals
the number of days food will last decrease
(As quantity of food is the same)
∴ They are in inverse proportion
6 × 20 = 𝒙 × 30
(6 × 20)/30 = 𝑥
(6 × 2)/3 = 𝑥
2 × 2 = 𝑥
𝑥 = 4
∴ Food will last for 4 days

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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