Neco Model Questions Vol1 2018 Geography Question 9

Two alternative routes connect City X to City Y.\n\nRoute A: 120 km highway at \(80\text{ km h}^{-1}\) followed by 40 km mountain road at \(40\text{ km h}^{-1}\). A mandatory rest stop of 30 minutes is required after the highway segment.\n\nRoute B: Direct 150 km road travelled at \(60\text{ km h}^{-1}\) for the first 60 km and \(70\text{ km h}^{-1}\) for the remaining 90 km, with no rest stop.\n\nThe vehicle's fuel consumption is 8 L per 100 km on highways (speed > 70 km h\(^{-1}\)), 12 L per 100 km on mountain roads, and 10 L per 100 km on all other roads. Fuel costs \(\text{₦}200\) per litre. The driver values time at \(\text{₦}500\) per hour.\n\nCalculate the total cost (fuel cost + time cost) for each route and state which route is cheaper. Give the answer as "Route A" or "Route B".