20 horses consume a certain quantity of corn in 30 days. In how many days will the same quantity be consumed by 50 horses ?

Given: 20 horses consume a certain quantity of corn in 30 days

To find: Number of days in which the same quantity will be consumed by 50 horses

Solution:

Let $x$ be the quantity consumed by one horse in one day.

In 30 days one horse will consume $30x$ corn

In 30 days, 20 horses will consume $20 \times 30x = 600x$ corn

Total amount of corn is $600x$

Let $N$ be the number of days in which the same quantity is consumed by 50 horses.

So $N \times 50 x = 600x$

Solving we get $N =12$

So, in 12 days the same quantity will be consumed by 50 horses

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Updated on: 10-Oct-2022

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