Question on: JAMB Mathematics - 1991
If w varies inversely as (\frac{ur}{u + r}) and is equal to 8 when
u = 2 and r = 6, find a relationship between u, v, w.
A
urw = 16(u + v)
B
16ur = 3w(u + v)
C
urw = 12(u + v)
D
12urw = u + v
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Correct Option: C
W (\alpha) (\frac{\frac{1}{uv}}{u + v})
∴ w = (\frac{\frac{k}{uv}}{u + v})
= (\frac{k(u + v)}{uv})
w = (\frac{k(u + v)}{uv})
w = 8, u = 2 and v = 6
8 = (\frac{k(2 + 6)}{2(6)})
= (\frac{k(8)}{12})
k = 12
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