A car is moving at 120{kmh}^{-1}. Find its speed in {ms}^{-1}.

Correct Answer is : 33.3ms−1{ms}^{-1}ms−1

Correct Answer is : 33.3ms−1{ms}^{-1}ms−1

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WAEC Further Mathematics 2018 Paper

Question : 39

Total: 40

\mathrm{kmh}^{-1}

\mathrm{ms}^{-1}

Solution:

Concept:

Convert speed from

\mathrm{kmh}^{-1}

\mathrm{ms}^{-1}

using unit conversion.

Explanation:

Use the conversion factors:

1\ \mathrm{km} = 1000\ \mathrm{m}

and

1\ \mathrm{h} = 3600\ \mathrm{s}

So, multiply the given speed by

\frac{1000}{3600}

120\ \mathrm{kmh}^{-1} = 120 \times \frac{1000}{3600}\ \mathrm{ms}^{-1}

= \frac{120000}{3600} = \frac{100}{3} = 33.33\ \mathrm{ms}^{-1}

This matches option A.

Answer:

33.3\ \mathrm{ms}^{-1}

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