Question

Через одну трубу бассейн заполняется за 5 часов, через другую - за 2 часа. Сколько времени понадобится для того, чтобы наполнить 0,35 объема бассейна, если открыть две трубы одновременно? Ответ дайте в минутах.

Answer 1

1) 1:5=1/5 часть бассейна заполнится за 1 час ,через одну трубу
2) 1:2=1/2 часть бассейна заполняется за 1 час , через другую трубу
3) 1/5+1/2=2/10+5/10=7/10 или 0,7 части бассейна заполнится за 1 час, через два трубы
4) 0,7 = 1час, 0,35 =Х часов ; Х=0,35:0,7=0,5 часа или 30мин.
Ответ: понадобится 30мин.

Answer 2

Problem Analysis

We are given two pipes that fill a pool in 5 hours and 2 hours, respectively. We need to determine how long it will take to fill 0.35 of the pool's volume if both pipes are opened simultaneously.

Solution

Let's assume that the pool's volume is represented by V.

We know that one pipe can fill the pool in 5 hours, which means that it can fill 1/5 of the pool's volume in one hour. Similarly, the other pipe can fill 1/2 of the pool's volume in one hour.

If both pipes are opened simultaneously, the combined rate at which they fill the pool is the sum of their individual rates. Therefore, the combined rate is 1/5 + 1/2 = 7/10 of the pool's volume per hour.

To find the time it takes to fill 0.35 of the pool's volume, we can set up the following equation:

(7/10) * V * t = 0.35 * V

Here, t represents the time it takes to fill 0.35 of the pool's volume.

Simplifying the equation, we get:

t = (0.35 * V) / (7/10)

To find the time in minutes, we can multiply the result by 60, since there are 60 minutes in an hour.

Let's calculate the time it takes to fill 0.35 of the pool's volume.

Calculation

Using the given information, we can calculate the time it takes to fill 0.35 of the pool's volume.

t = (0.35 * V) / (7/10)

Since we don't have the exact value of the pool's volume, we can assume any value for V. Let's assume V = 100 for simplicity.

Substituting the values into the equation:

t = (0.35 * 100) / (7/10)

Simplifying further:

t = (35) / (7/10) = 50

Therefore, it will take 50 hours to fill 0.35 of the pool's volume if both pipes are opened simultaneously.

To convert this to minutes, we multiply by 60:

50 * 60 = 3000

Therefore, it will take 3000 minutes to fill 0.35 of the pool's volume if both pipes are opened simultaneously.

Answer

It will take 3000 minutes to fill 0.35 of the pool's volume if both pipes are opened simultaneously.

Note: The exact value of the pool's volume is not provided, so we assumed a value of 100 for simplicity. The calculation can be adjusted accordingly based on the actual volume of the pool.