Question

К ванне подведены два крана. Через один она наполняется за 12 минут, а через второй - в 1,5 раза быстрее. За сколько минут наполнится 5\12 ванны при двух открытых кранах.

Answer 1

1/12 -производительность первого крана в минуту
12*1,5=18, тогда 
1/18 производительность второго крана в минуту
1/12+1/18=3/36+2/36=5/36 - производительность обоих кранов в минуту
5/12 : 5/36=3 минуты 
Ответ : за 3 минуты

Answer 2

Problem Analysis

We are given two taps in a bathtub. One tap fills the bathtub in 12 minutes, while the other tap fills it 1.5 times faster. We need to determine how long it will take to fill 5/12 of the bathtub when both taps are open.

Solution

Let's assume that the slower tap fills the bathtub at a rate of 1 unit per minute. Therefore, the faster tap fills the bathtub at a rate of 1.5 units per minute.

To find the time it takes to fill 5/12 of the bathtub, we can set up the following equation:

(1 unit/minute + 1.5 units/minute) * time = 5/12 of the bathtub

Simplifying the equation, we have:

2.5 units/minute * time = 5/12 of the bathtub

To find the time, we can divide both sides of the equation by 2.5 units/minute:

time = (5/12 of the bathtub) / (2.5 units/minute)

Now, let's calculate the time it takes to fill 5/12 of the bathtub.

Calculation

To calculate the time it takes to fill 5/12 of the bathtub, we need to divide 5/12 by 2.5:

time = (5/12) / 2.5

time = 0.2 / 2.5

time = 0.08

Therefore, it will take 0.08 minutes to fill 5/12 of the bathtub when both taps are open.

Answer

It will take 0.08 minutes to fill 5/12 of the bathtub when both taps are open.