BECE Mathematics 2018 Paper

Speed is calculated by the formula below:Distance can also be calculated as speed $x$ timeDistance $=$ Speed $\times$ TimeFrom the question, the speed $=60 \text{ km/h}$10.45 am to 12.15 pm is 1 hours 30 minutes NOTE: $10.45\text{ am}-11.45\text{ am}=1$ hour15 minutes time will be 12 pmAnother 15 minutes time will be 12.15 pmHence time taken is 1 hour 30 minutesSince the speed is in hours, convert the minutes ( 30 minutes) to hours60 minutes $=1$ hour30 goes into 60, 2 times Now add the $\frac{1}{2}$ hours to the other 1 hour to get the total hoursEvery number is being divided by 1Rewrite the fractionsExpress it in single fractionDivide by the L.C.M of the denominators (1 and 2)The L.C.M of 1 and 2 is 2Substite the time into the distance equationCancel out2 goes into 60, 30 timesDistance $=30 \times 3 \text{ km}=90 \text{ km}$