An exporter needs to transport a cargo from City A to City D. Two possible routes are available:\n\n**Route 1:** A-B (120 km, speed 60 km$^{\text{-1}}$), B-C (80 km, speed 40 km$^{\text{-1}}$), C-D (100 km, speed 80 km$^{\text{-1}}$). Toll fees are ₦1500, ₦800 and ₦1200 respectively.\n\n**Route 2:** Direct A-D (250 km, speed 70 km$^{\text{-1}}$) with a single toll of ₦2500.\n\nFuel consumption depends on speed: for speeds $\le 60$ km$^{\text{-1}}$ the vehicle uses $0.10$ L km$^{-1}$; for speeds $60$ km$^{\text{-1}}$ it uses $0.15$ L km$^{-1}$. Fuel price is ₦165 per litre.\n\nCalculate the total cost (fuel + tolls) for each route, state which route is cheaper, and give the total travel time for the cheaper route (in hours, rounded to two decimal places).

Question

An exporter needs to transport a cargo from City A to City D. Two possible routes are available:\n\n**Route 1:** A-B (120 km, speed 60 km$^{\text{-1}}$), B-C (80 km, speed 40 km$^{\text{-1}}$), C-D (100 km, speed 80 km$^{\text{-1}}$). Toll fees are ₦1500, ₦800 and ₦1200 respectively.\n\n**Route 2:** Direct A-D (250 km, speed 70 km$^{\text{-1}}$) with a single toll of ₦2500.\n\nFuel consumption depends on speed: for speeds $\le 60$ km$^{\text{-1}}$ the vehicle uses $0.10$ L km$^{-1}$; for speeds $>60$ km$^{\text{-1}}$ it uses $0.15$ L km$^{-1}$. Fuel price is ₦165 per litre.\n\nCalculate the total cost (fuel + tolls) for each route, state which route is cheaper, and give the total travel time for the cheaper route (in hours, rounded to two decimal places).

Accepted Answer

Route 2 is cheaper with a total cost of ₦8 688 (rounded) and a travel time of 3.57 h.

Neco 2017 Geography Question 16

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