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

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

View answer & explanation

Correct answer is D

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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