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Question

# A scooterist covers a distance of 3 kilometres in 5 minutes. Calculate his speed in: (a) centimetres per second (cm/s) (b) metres per second (m/s) ā(c) kilometres per hour (km/h)

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Solution

## (a) Distance covered by the scooterist = 3 km = 3$×$105 cm Time taken = 5 minutes = 300 seconds Speed = $\frac{\mathrm{Distance}}{\mathrm{Time}}=\frac{3×{10}^{5}\mathrm{cm}}{300\mathrm{s}}=1000\mathrm{cm}/\mathrm{s}$ (b) Distance covered by the scooterist = 3 km = 3$×$103 m Time taken = 5 minutes = 300 seconds Speed = $\frac{\mathrm{Distance}}{\mathrm{Time}}=\frac{3×{10}^{3}\mathrm{cm}}{300\mathrm{s}}=10\mathrm{m}/\mathrm{s}$ (c) Distance covered by the scooterist = 3 km Time taken = 5 minutes = $\frac{5}{60}\mathrm{hours}$ Speed = $\frac{\mathrm{Distance}}{\mathrm{Time}}=\frac{3\mathrm{km}}{\frac{5}{60}\mathrm{h}}=36\mathrm{km}/\mathrm{h}$

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