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JAMB Mathematics 2013 Question 14

Question 14

Variation

P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 when q = 1, find the value of p when m = 6, u = 4 and q = 8/5.

  1. A.10
  2. B.288/5
  3. C.128/5
  4. D.15
Show the answer and explanation

Answer: A (10)

Explanation

p = kmu/q: 4 = 6k, so k = 2/3. Then p = (2/3 × 6 × 4) ÷ 8/5 = 16 × 5/8 = 10.