BECE Mathematics 2019 Paper

Method ILet $x=$ the time taken to travel 12 km8 km took $1\ \text{hr}\ \Rightarrow\ 8\ \text{km}=1\ \text{hr}$12 km will take $x\ \text{hr}\ \Rightarrow\ 12\ \text{km}=x\ \text{hr}$$\;8=1$$\;12=x$Cross multiply both sides$x \times 8=12 \times 1$Divide both sides by 8$x \frac{8}{8} = \frac{12}{8} = \frac{3}{2} = \frac{11}{2}$NOTE: 4 goes into 12, 3 times and into 8, 2 times Method IISpeed = Distance/TimeSpeed for 8 km in $1\ \text{hr} = 8\ \text{km} / 1\ \text{hr} = 8\ \text{km} / \text{h}$Let $x=$ time taken to cover the 12 kmSince the same speed was used to cover the $12\ \text{km}, \frac{12}{x}$ should give the same speed $(8\ \text{km} / \text{h})$$\Rightarrow \frac{12}{x}=8$Multiply both sides by $x$$12 = 8 \times x$Divide both sides by 8$\; \frac{12}{8} = x$$\; \Rightarrow x = \frac{3}{2} = \frac{11}{2}$