Question

1 кран может наполнить аквариум за 4 мин а второй за 6мин.Какую часть аквариума наполнят оба крана ща одну минуту? Можно ли наполнить аквариум за 3 мин

Answer 1

Х - объем аквариума
х/4 - производитедьность первого крана
х/6 - производительность второго крана
Производительность обоих кранов равна : х/4 + х/6 = 3х/12 + 2х/12 = 5х/12 . то есть за 1 минуту они заполнят : 5/12 часть аквариума .
Они ъаполнят аквариум за : х / 5х/12 = 12/5 мин = 2,4 мин , то есть за 3 мин можно заполнить аквариум

Answer 2

Calculation of Water Filled by Both Taps in One Minute

To determine the fraction of the aquarium that will be filled by both taps in one minute, we need to calculate the combined rate at which both taps fill the aquarium.

Let's assume that the first tap can fill the entire aquarium in 4 minutes, and the second tap can fill the entire aquarium in 6 minutes.

The rate at which the first tap fills the aquarium is 1/4 of the aquarium per minute, and the rate at which the second tap fills the aquarium is 1/6 of the aquarium per minute.

To find the combined rate, we add the rates of both taps:

1/4 + 1/6 = 3/12 + 2/12 = 5/12

Therefore, both taps together can fill 5/12 of the aquarium in one minute.

Possibility of Filling the Aquarium in 3 Minutes

To determine if it is possible to fill the aquarium in 3 minutes, we need to compare the combined rate of both taps to the rate required to fill the aquarium in 3 minutes.

If both taps together can fill 5/12 of the aquarium in one minute, then in 3 minutes, they can fill:

(5/12) * 3 = 15/12 = 1 1/4 of the aquarium

Since 1 1/4 is greater than the entire aquarium, it is possible to fill the aquarium in 3 minutes using both taps.

Therefore, it is possible to fill the aquarium in 3 minutes.

Please note that these calculations assume a constant rate of water flow from the taps and do not take into account any other factors that may affect the filling of the aquarium.