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W is directly proportional to U. If W = 5 when U = 3, find U...

Mathematics
JAMB 2009

W is directly proportional to U. If W = 5 when U = 3, find U when W = 2/7

  • A. 6/35
  • B. 10/21
  • C. 21/10
  • D. 35/6
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Correct Answer: Option A
Explanation

W ∝ U
W = KU
K = \(\frac{W}{U}\)
K = \(\frac{5}{3}\)
W = \(\frac{5}{3}U\)
\(\frac{2}{7} = \frac{5}{3}\)U
U = \(\frac{2}{7} \times \frac{3}{5}\)
U = \(\frac{6}{35}\)

There is an explanation video available below.


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