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If x km/h = y m/s, then y =

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Mathematics WAEC 2010

If x km/h = y m/s, then y =

  • \(\frac{7}{18}\)x
  • \(\frac{11}{20}\)x
  • \(\frac{4}{15}\)x
  • \(\frac{5}{18}\)x checkmark

The correct answer is: D

Explanation

x kmh-1 = y ms-1

\(\frac{x km}{1 hr}\) = y ms-1

\(x \times \frac{1km}{1hr}\) = y ms-1

\(x \times \frac{1000m}{60 \times 60s}\) = y ms-1

\(x \times \frac{1000}{3600} \frac{m}{s}\) = y ms-1

\(x \times \frac{5}{18} ms^{-1}\)

\(x \times \frac{5}{18} ms^{-1}\) = y ms-1

y = \(\frac{5}{18}\)x
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