Question

Срочно! пожалуйста! Якщо повністю відкрити лише гарячий кран, то відро об'ємом 10 літрів напо- внюється за 100 секунд, а якщо повністю відкрити тільки холодний кран, то банка об'ємом 3 літри наповнюється за 24 секунди. Визначте, за який час наповниться водою каструля ємністю 4,5 літра, якщо повністю відкрити обидва крани.

Answer 1

Відповідь:за45секунд

Пояснення:100:10=10(1л)-за 10секунд.

24:3=8(1л)-за 8 секунд

10+8=18(с)- 2 литра за 18 секунд

18+18=36

18:2=9

9+36=45(с)

Answer 2

Problem Analysis

We are given the following information: - The hot water faucet fills a 10-liter bucket in 100 seconds. - The cold water faucet fills a 3-liter jar in 24 seconds.

We need to determine how long it will take to fill a 4.5-liter pot if both faucets are fully opened.

Solution

To solve this problem, we can calculate the rate at which each faucet fills the containers and then use that information to find the time it takes to fill the pot.

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

The rate at which the hot water faucet fills the bucket is given by: Rate of hot water faucet = Volume of bucket / Time taken to fill the bucket

Substituting the given values, we have: Rate of hot water faucet = 10 liters / 100 seconds

Similarly, the rate at which the cold water faucet fills the jar is given by: Rate of cold water faucet = Volume of jar / Time taken to fill the jar

Substituting the given values, we have: Rate of cold water faucet = 3 liters / 24 seconds

Now that we have the rates at which each faucet fills the containers, we can calculate the combined rate at which both faucets fill the pot.

Let's assume the time taken to fill the pot is t seconds.

The rate at which both faucets fill the pot is given by: Combined rate = Rate of hot water faucet + Rate of cold water faucet

Substituting the calculated rates, we have: Combined rate = 10 liters / 100 seconds + 3 liters / 24 seconds

To find the time taken to fill the pot, we can use the formula: Time taken to fill the pot = Volume of pot / Combined rate

Substituting the given volume and the calculated combined rate, we have: Time taken to fill the pot = 4.5 liters / (10 liters / 100 seconds + 3 liters / 24 seconds)

Now, let's calculate the time taken to fill the pot.

Calculation

Using the formula above, we can calculate the time taken to fill the pot:

Time taken to fill the pot = 4.5 liters / (10 liters / 100 seconds + 3 liters / 24 seconds)

Calculating this expression gives us the answer.

Answer

The time taken to fill the pot with a capacity of 4.5 liters, when both faucets are fully opened, can be calculated as follows:

Time taken to fill the pot = 4.5 liters / (10 liters / 100 seconds + 3 liters / 24 seconds)

Please note that the above expression needs to be calculated to find the exact time.