Knowee
Questions
Features
Study Tools

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

Question

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

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

Solution

(a) As time increases, the amount of water in the tank increases.

To find the rate at which the water increases, we need to subtract the amount of water at the start from the amount of water at the end, and then divide by the amount of time that passed.

So, (756 liters - 558 liters) / (39 minutes - 28 minutes) = 198 liters / 11 minutes = 18 liters per minute.

The amount of water in the tank increases at a rate of 18 liters per minute.

(b) To find out how much water the tank contained when the workers started filling it, we need to subtract the amount of water that was added from the total amount of water in the tank after 28 minutes.

So, 558 liters - (18 liters per minute * 28 minutes) = 558 liters - 504 liters = 54 liters.

The tank contained 54 liters when the workers started filling it.

This problem has been solved

Similar Questions

A rectangular water tank measures 2.5m long, 2.4m wide and 2.1m high. The tank contained some water up to a height of 1.21m.An inlet pipe was opened and water let to flow into the tank at a rate of 8 litres per minute. After one hour, a drain pipe was opened and water allowed to flow out of the tank at a rate of 6 litres per minute.Calculatei. The height of water in tank after 3 hours.ii. The total time taken to fill up the tank.

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

There are 3 taps, A, B and C, which can fill a tank in 20, 30 and 40 minutes, respectively. The tank has 2 holes, one at the bottom of the tank, and the other at half the height of the tank. The hole at the bottom of the tank can empty it in 120 minutes and the other hole also empties at the same rate. If all the taps are opened, find the time taken to fill the tank. min min min min

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.

Two water taps together can fill a tank in hours. The tap of the larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time at which each tap can separately fill the tank.

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.