Question

Резервуар вмещает в себя 240000 литров воды. Один кран наполняет его за 40 часов ,а другой за 60 часов. За сколько часов заполнится резервуар если открыть оба крана одновременно

Answer 1

Ответ:

Они наполнят резервуар за 24 часа

240000:40=6000 л в час(1 кран)

240000:60=4000 л в час (2 кран)

Вместе за час они наполняют резервуар на 10000 литров

240000:10000=24 часа

Answer 2

Problem Analysis

We have a reservoir that can hold 240,000 liters of water. One faucet can fill it in 40 hours, while another faucet can fill it in 60 hours. We need to determine how long it will take to fill the reservoir if both faucets are opened simultaneously.

Solution

To solve this problem, we need to calculate the rate at which each faucet fills the reservoir and then determine the combined rate when both faucets are open. Finally, we can use the combined rate to calculate the time it takes to fill the reservoir.

Let's start by calculating the rate at which each faucet fills the reservoir.

The first faucet can fill the reservoir in 40 hours, so its filling rate is 240,000 liters / 40 hours = 6,000 liters per hour.

The second faucet can fill the reservoir in 60 hours, so its filling rate is 240,000 liters / 60 hours = 4,000 liters per hour.

Now, let's calculate the combined filling rate when both faucets are open. We can simply add the individual filling rates together.

Combined filling rate = 6,000 liters per hour + 4,000 liters per hour = 10,000 liters per hour.

Finally, we can use the combined filling rate to calculate the time it takes to fill the reservoir. We can divide the total volume of the reservoir by the combined filling rate.

Time to fill the reservoir = 240,000 liters / 10,000 liters per hour = 24 hours.

Therefore, if both faucets are opened simultaneously, it will take 24 hours to fill the reservoir.

Answer

If both faucets are opened simultaneously, the reservoir will be filled in 24 hours.

Source:

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