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P varies directly as Q and inversely as R. When Q = 36 and R...

Mathematics
JAMB 2014

P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.
  • A. \(P = \frac{Q}{12R}\)
  • B. \(P = \frac{12Q}{R}\)
  • C. \(P = 12QR\)
  • D. \(P = \frac{12}{QR}\)
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Correct Answer: Option B
Explanation
\(P \propto \frac{Q}{R}\)

\(P = K \frac{Q}{R}\)

When Q = 36, R = 16, P = 27

Then substitute into the equation

\(27 = K \frac{36}{16}\)


\(K = \frac{27 \times 16}{36}\)

\(K = 12\)

So the equation connecting P, Q and R is

\(P = \frac{12Q}{R}\)

There is an explanation video available below.


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Explanation Video

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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free