20051

Question

{{name}} is filling {{gender}} pool with water from {{gender}} rain tank.

Water flows from the rain tank into the pool at a rate of {{flow}} litres per minute.

After {{time}} minutes, the water tank has {{vol1}}L in it. How many litres of water were in the tank before it was used to fill the pool?

Worked Solution

Tank Volume (final) = {{vol1}}

Water flow out of tank=time×flow=vol2L\begin{aligned} \text{Water flow out of tank} &={{time}} \times{{flow}} \cr &={{vol2}}\text{L} \cr \end{aligned} \newline

∴Original volume=vol1+vol2=correctAnswerL\begin{aligned} \therefore \text{Original volume} &={{vol1}} + {{vol2}} \cr &={{correctAnswer}}\text{L} \cr \end{aligned}

Variant 0

DifficultyLevel

551

Question

Stuart is filling his pool with water from his rain tank.

Water flows from the rain tank into the pool at a rate of 100 litres per minute.

After 10 minutes, the water tank has 3500L in it. How many litres of water were in the tank before it was used to fill the pool?

Worked Solution

Tank Volume (final) = 3500

Water flow out of tank=10×100=1000L\begin{aligned} \text{Water flow out of tank} &=10 \times100 \cr &=1000\text{L} \cr \end{aligned} \newline

∴Original volume=3500+1000=4500L\begin{aligned} \therefore \text{Original volume} &=3500 + 1000 \cr &=4500\text{L} \cr \end{aligned}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Stuart
gender
his
flow
100
time
10
vol1
3500
vol2
1000
correctAnswer
4500

Answers

Is Correct?Answer
x

2500

x

3400

x

3600

✓

4500

Variant 1

DifficultyLevel

551

Question

Bryan is filling his pool with water from his rain tank.

Water flows from the rain tank into the pool at a rate of 50 litres per minute.

After 10 minutes, the water tank has 3000L in it. How many litres of water were in the tank before it was used to fill the pool?

Worked Solution

Tank Volume (final) = 3000

Water flow out of tank=10×50=500L\begin{aligned} \text{Water flow out of tank} &=10 \times50 \cr &=500\text{L} \cr \end{aligned} \newline

∴Original volume=3000+500=3500L\begin{aligned} \therefore \text{Original volume} &=3000 + 500 \cr &=3500\text{L} \cr \end{aligned}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Bryan
gender
his
flow
50
time
10
vol1
3000
vol2
500
correctAnswer
3500

Answers

Is Correct?Answer
x

2500

x

2950

x

3050

✓

3500

Variant 2

DifficultyLevel

551

Question

Phoebe is filling her pool with water from her rain tank.

Water flows from the rain tank into the pool at a rate of 200 litres per minute.

After 10 minutes, the water tank has 7000L in it. How many litres of water were in the tank before it was used to fill the pool?

Worked Solution

Tank Volume (final) = 7000

Water flow out of tank=10×200=2000L\begin{aligned} \text{Water flow out of tank} &=10 \times200 \cr &=2000\text{L} \cr \end{aligned} \newline

∴Original volume=7000+2000=9000L\begin{aligned} \therefore \text{Original volume} &=7000 + 2000 \cr &=9000\text{L} \cr \end{aligned}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Phoebe
gender
her
flow
200
time
10
vol1
7000
vol2
2000
correctAnswer
9000

Answers

Is Correct?Answer
✓

9000

x

7200

x

6800

x

5000

Variant 3

DifficultyLevel

551

Question

Sola is filling her pool with water from her rain tank.

Water flows from the rain tank into the pool at a rate of 100 litres per minute.

After 20 minutes, the water tank has 4000L in it. How many litres of water were in the tank before it was used to fill the pool?

Worked Solution

Tank Volume (final) = 4000

Water flow out of tank=20×100=2000L\begin{aligned} \text{Water flow out of tank} &=20 \times100 \cr &=2000\text{L} \cr \end{aligned} \newline

∴Original volume=4000+2000=6000L\begin{aligned} \therefore \text{Original volume} &=4000 + 2000 \cr &=6000\text{L} \cr \end{aligned}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Sola
gender
her
flow
100
time
20
vol1
4000
vol2
2000
correctAnswer
6000

Answers

Is Correct?Answer
x

2000

x

3800

x

4200

✓

6000

Variant 4

DifficultyLevel

551

Question

Ed is filling his pool with water from his rain tank.

Water flows from the rain tank into the pool at a rate of 200 litres per minute.

After 5 minutes, the water tank has 5000L in it. How many litres of water were in the tank before it was used to fill the pool?

Worked Solution

Tank Volume (final) = 5000

Water flow out of tank=5×200=1000L\begin{aligned} \text{Water flow out of tank} &=5 \times200 \cr &=1000\text{L} \cr \end{aligned} \newline

∴Original volume=5000+1000=6000L\begin{aligned} \therefore \text{Original volume} &=5000 + 1000 \cr &=6000\text{L} \cr \end{aligned}

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Ed
gender
his
flow
200
time
5
vol1
5000
vol2
1000
correctAnswer
6000

Answers

Is Correct?Answer
✓

6000

x

5100

x

4900

x

4000