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JAMB Mathematics 2014 Question 16

Question 16

Variation

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.

  1. A.P = 12/(QR)
  2. B.P = Q/(12R)
  3. C.P = 12Q/R
  4. D.P = 12QR
Show the answer and explanation

Answer: C (P = 12Q/R)

Explanation

P = kQ/R, so 27 = 36k/16, giving k = 12. Hence P = 12Q/R.