A logistics company must transport goods from City X to City Y (300 km). Two routes are available:

• Route A: 300 km highway, speed limit 100 km h⁻¹. Traffic adds a delay of 0.5 h for every 50 km travelled beyond the first 100 km. Fuel consumption on the highway is 8 L 100 km⁻¹.

• Route B: 260 km mixed road (average speed 80 km h⁻¹, fuel 10 L 100 km⁻¹) plus a 40 km mountain pass (speed 40 km h⁻¹, fuel 15 L 100 km⁻¹).

Fuel price is ₦150 L⁻¹ and driver time is valued at ₦200 h⁻¹. Determine which route gives the lower total cost (fuel + driver time) and give the total cost rounded to the nearest thousand naira.

Question

A logistics company must transport goods from City X to City Y (300 km). Two routes are available:

• Route A: 300 km highway, speed limit 100 km h⁻¹. Traffic adds a delay of 0.5 h for every 50 km travelled beyond the first 100 km. Fuel consumption on the highway is 8 L 100 km⁻¹.

• Route B: 260 km mixed road (average speed 80 km h⁻¹, fuel 10 L 100 km⁻¹) plus a 40 km mountain pass (speed 40 km h⁻¹, fuel 15 L 100 km⁻¹).

Fuel price is ₦150 L⁻¹ and driver time is valued at ₦200 h⁻¹. Determine which route gives the lower total cost (fuel + driver time) and give the total cost rounded to the nearest thousand naira.

Accepted Answer

Route A is cheaper; total cost ≈ ₦5 000 (rounded to the nearest thousand)

Gce Model Questions Vol1 2024 Geography Question 25

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