Question

A farmer has enough food to feed 20 animals in his cattle for 3 days. How long would the food last if there were 10 more animals in his cattle? ​

Answer 1

Answer:

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Answer 2

Answer:

2 days

Step-by-step explanation:

If the number of animals increases, then it will take fewer days to last.

Then the two quantities are in inverse proportions.

Let the required number of days be p.

$\because x_1y_1 = x_2y_2$

Where,

$x_1 = 20, \: y_1 = 10, \: x_2 = 30$ and $y_2 = p$ (let)

=> 20 × 3 = 30 × p

=> 60 = 30p

=> p = 60/30

=> p = 2

Hence the required number of days = 2.