If x km/h = y m/s, then y =
MATHEMATICS
WAEC 2010
If x km/h = y m/s, then y =
- A. \(\frac{7}{18}\)x
- B. \(\frac{11}{20}\)x
- C. \(\frac{4}{15}\)x
- D. \(\frac{5}{18}\)x
Correct Answer: D. \(\frac{5}{18}\)x
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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