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Inverse variation: solve a practical problem

DIFFICULTYstandardchallengeexam
QUESTION TYPEMix of allChange
inverse variation, 1 power, forward, exact, lower-inputinverse variation, 1 power, forward, exact, higher-inputinverse variation, 1 power, backward, exact, lower-inputinverse variation, 1 power, backward, exact, higher-inputNOWMix of allRecommended
Question 1 of 8

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Let \(x\) be the drainage rate, measured in L/min, and \(y\) be the emptying time, measured in min.

The emptying time varies inversely as the drainage rate

A known pair is drainage rate \(8\,\text{L/min}\) and emptying time \(\frac{25}{3}\,\text{min}\)

(a)1 mark

Find the constant \(k\) in \(y=\frac{k}{x}\)

(b)1 mark

Find the drainage rate when the emptying time is \(\frac{20}{3}\,\text{min}\)