BECE Mathematics 2017 Paper

Method ILet $x=$ distance travelled in 50 minutes$30\text{ minutes}=1.5\text{ km}$$50\text{ minutes}=x$Cross multiply the two equations and solve for the value of $x$$30\text{ minutes} x x=50\text{ minutes} \times 1.5\text{ km}$Divide both sides by 30 minutes so $x$ stands alone$\frac{30\text{ minutes} \times x}{30\text{ minutes}}=\frac{50\text{ minutes} \times 1.5\text{ km}}{30\text{ minutes}}$$x=2.5\text{ km}$Method IISpeed = Distance/TimeSpeed for the first trip $=\frac{1.5\text{ km}}{30}$ minutesSince he travelled at the same speed, we can use the first speed and time to find the distanceSpeed = Distance/TimeDistance $=$ Speed $\times$ TimeDistance for the 50 minutes $=(\frac{1.5\text{ km}}{30}$ minutes $)\times 50$ minutesDistance $=2.5\text{ km}$