BECE Mathematics 2022 Paper

Concept:Speed is the distance travelled per unit time. To express it in metres per second, first convert distance from kilometres to metres and time from hours to seconds.Explanation:Speed is given by the formula:$$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$$Convert the distance:$1$ kilometre $= 1000$ metres, so $36$ kilometres $= 36 \times 1000 = 36000$ metres.Convert the time:$1$ hour $= 60$ minutes $= 60 \times 60 = 3600$ seconds.Now substitute into the speed formula:$$\text{Speed} = \frac{36000 \text{ m}}{3600 \text{ s}} = 10 \text{ m/s}$$Thus, the car’s speed in metres per second is $10 \,\text{ms}^{-1}$.Answer:A. $10 \,\text{ms}^{-1}$