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Question

Which is greater-the speed of $$30\ m/sec$$ or $$30\ km/h?$$

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Solution

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Which is greater
$$15\ m/sec$$

$$1\ m=\dfrac{1}{1000}\ km$$

$$1\ sec=\dfrac{1}{3600}\ hours$$

$$\dfrac{1\ m}{s}=\dfrac{1}{1000} \div \dfrac{1}{3600}=\dfrac{3600}{1000}$$

$$=\dfrac{18}{5}\ km/h$$
$$30\ km/h=\dfrac{18}{5} \times 30=108\ km/h$$
That means $$108\ km$$ cover in $$1\ hour\ 30\ m/sec$$ is greater

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