Question

Фермер,заготовил сено,которого может хватить корове на 60 дней,а коню-на 40дней.за сколько дней корова и конь вместе съедят этот запас сена?

Answer 1

в день конь съедает 1/40 а корова 1/60

вместе они съедают 1/40+1/60=1/24

Сена хватит на 1/1/24=24 дня

Answer 2

Calculation of the Number of Days the Cow and Horse Can Together Consume the Hay

To determine the number of days the cow and horse can together consume the hay, we need to find the least common multiple (LCM) of the number of days the hay can last for each animal.

According to the information provided, the cow's hay supply can last for 60 days, while the horse's hay supply can last for 40 days.

To find the LCM, we can use the formula:

LCM(a, b) = (a * b) / GCD(a, b)

where LCM is the least common multiple, a and b are the numbers we want to find the LCM for, and GCD is the greatest common divisor.

Let's calculate the LCM for 60 and 40:

LCM(60, 40) = (60 * 40) / GCD(60, 40)

To find the GCD, we can use the Euclidean algorithm:

GCD(a, b) = GCD(b, a % b)

where % represents the modulo operation.

Let's calculate the GCD for 60 and 40:

GCD(60, 40) = GCD(40, 60 % 40) = GCD(40, 20)

GCD(40, 20) = GCD(20, 40 % 20) = GCD(20, 0)

Since the remainder is 0, the GCD is 20.

Now, let's substitute the GCD into the LCM formula:

LCM(60, 40) = (60 * 40) / 20 = 120

Therefore, the cow and horse can together consume the hay supply in 120 days.