If w varies inversely as frac ur u r and is equ... - JAMB Mathematics 1991 Question
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.
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
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
∴ 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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