Knowee
Questions
Features
Study Tools

Two pools are being filled with water. To start, the first pool had 992 liters of water and the second pool was empty. Water is being added to the first pool at a rate of 16 liters per minute. Water is being added to the second pool at a rate of 48 liters per minute.Let x be the number of minutes water has been added.(a)For each pool, write an expression for the amount of water in the pool after x minutes.Amountofwaterinthefirstpool(in=liters)Amountofwaterinthesecondpool(in=liters)(b)Write an equation to show when the two pools would have the same amount of water.

Question

Two pools are being filled with water. To start, the first pool had 992 liters of water and the second pool was empty. Water is being added to the first pool at a rate of 16 liters per minute. Water is being added to the second pool at a rate of 48 liters per minute.Let x be the number of minutes water has been added.(a)For each pool, write an expression for the amount of water in the pool after x minutes.Amountofwaterinthefirstpool(in=liters)Amountofwaterinthesecondpool(in=liters)(b)Write an equation to show when the two pools would have the same amount of water.

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

(a) The amount of water in each pool after x minutes can be represented by the following expressions:

Amount of water in the first pool (in liters) = 992 + 16x This is because the first pool already had 992 liters of water and water is being added at a rate of 16 liters per minute.

Amount of water in the second pool (in liters) = 0 + 48x This is because the second pool was empty to start with and water is being added at a rate of 48 liters per minute.

(b) The two pools would have the same amount of water when the amount of water in the first pool equals the amount of water in the second pool. This can be represented by the following equation:

992 + 16x = 48x

This equation can be solved to find the value of x, which represents the number of minutes it would take for the two pools to have the same amount of water.

This problem has been solved

Similar Questions

Two pools are being filled with water. To start, the first pool contains 2172 liters of water and the second pool contains 2500 liters of water. Water is being added to the first pool at a rate of 34.5 liters per minute. Water is being added to the second pool at a rate of 24.25 liters per minute.After how many minutes will the two pools have the same amount of water?minutesHow much water will be in each pool when they have the same amount?liters

A tank at a factory contains water. Workers are filling the tank at a constant rate. After 28 minutes of being filled, the tank contains 558 liters of water. After 39 minutes, the tank contains 756 liters of water.(a)Choose the statement that best describes how the time and the amount of water in the tank are related. Then fill in the blank.As time increases, the amount of water in the tank decreases.Theamountofwaterinthetankdecreasesatarateoflitersperminute. As time increases, the amount of water in the tank increases.Theamountofwaterinthetankincreasesatarateoflitersperminute. (b)How much water did the tank contain when the workers started filling it?liters

(a)Laura pumped 42 gallons of water out of her pool. This was done over a period of 6 minutes at a constant rate. What was the change in the amount of water in the pool each minute?gallons

A swiming pool can be filled with water by two pipes in 12 hours. If a larger pipe takes less than the smaller pipe to fill the pool, find the time each pipe will take individually.

Select the correct answerThere are two water tanks A and B. A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160….., in tank B. (At the end of first hour, B has 10 liters, second hour it has 20, and so on). If tank B is 1/16 filled after 17 hours, what is the total duration required to fill it completely?radio_button_unchecked4 hoursradio_button_unchecked21 hoursradio_button_unchecked22 hoursradio_button_unchecked24 hours

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.