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JAMB Mathematics 1991 Question 15

Question 15

Variation

If w varies inversely as uv/(u + v) and is equal to 8 when u = 2 and v = 6, find a relationship between u, v, w

  1. A.urw = 16(u + r)
  2. B.16ur = 3w(u + r)
  3. C.urw = 12(u + r)
  4. D.12urw = u + r
Show the answer and explanation

Answer: C (urw = 12(u + r))

Explanation

w = k(u + v)/(uv). With u = 2, v = 6: 8 = k × 8/12, so k = 12 and uvw = 12(u + v). This is option C, where the book prints r in place of v.