Question

Задача Перший насос може викачати 24т води за 6 год а другий за 3год.За скильки годип викачують цю воду обидва насоси,яещо працюватимуть одночасно?

Answer 1

24:6=4т в год выкачивает 1 насос 24:3=8т в год выкачивает второй насос 4+8=12т в год выкачивают два насоса одновременно 24:12=2года им понадобится если они будут качать одновременно

Answer 2

Problem Analysis

We are given two pumps, the first of which can pump 24 tons of water in 6 hours, and the second pump can pump 24 tons of water in 3 hours. We need to determine how long it will take for both pumps to pump this amount of water if they work simultaneously.

Solution

To solve this problem, we can calculate the combined pumping rate of both pumps when they work together. We can then use this rate to determine the time it will take to pump 24 tons of water.

Let's calculate the pumping rates of each pump first:

- The first pump can pump 24 tons of water in 6 hours. Therefore, its pumping rate is 24 tons / 6 hours = 4 tons per hour. - The second pump can pump 24 tons of water in 3 hours. Therefore, its pumping rate is 24 tons / 3 hours = 8 tons per hour.

To find the combined pumping rate when both pumps work together, we can add their individual pumping rates:

- Combined pumping rate = Pumping rate of the first pump + Pumping rate of the second pump - Combined pumping rate = 4 tons per hour + 8 tons per hour - Combined pumping rate = 12 tons per hour

Now that we have the combined pumping rate, we can determine the time it will take for both pumps to pump 24 tons of water. We can use the formula:

- Time = Amount of water / Combined pumping rate - Time = 24 tons / 12 tons per hour - Time = 2 hours

Therefore, if both pumps work simultaneously, it will take them 2 hours to pump 24 tons of water.

Answer

If both pumps work simultaneously, they will be able to pump 24 tons of water in 2 hours.