Rates, SM-Bank 004

All the water has leaked from a 10 litre bucket in 20 minutes.

Calculate the leaking rate in litres/minute. (1 mark)

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How long would it take to empty a 12 litre bucket at the same rate? (2 marks)

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a. \(0.5\ \text{litres}/ \text{minute}\)

b. \(24\ \text{minutes}\)

Show Worked Solution

a.	\(10\ \text{litres}/20\ \text{minutes}\)	\(=\dfrac{10}{20}\ \text{litres}/\dfrac{20}{20}\ \text{minutes}\)
		\(=0.5\ \text{litres}/\text{minute}\)

b.	\(0.5\ \text{litres}/\text{hour}\)	\(=1\ \text{litres}/2\ \text{minutes}\)
		\(=12\ \text{litres}/2\times 12\ \text{minutes}\)
		\(=12\ \text{litres}/24\ \text{minutes}\)

\(\therefore\ \text{It would take}\ 24\ \text{minutes to empty a}\ 12\ \text{litre bucket.}\)