Neco Model Questions Vol1 2025 Geography Question 17

Practice objective / multiple choice question 17 from the 2025 Neco Model Questions Vol1 Geography examination.

Neco Model Questions Vol1 2025 Geography Objective / Multiple Choice Hard Difficulty
Question 17 NECO_MODEL_QUESTIONS_VOL1 • 2025 • GEOGRAPHY • objective

A bus must travel a 240 km route. The first 120 km are through an urban area where the speed is limited to 60 km h\(^{-1}\) and fuel consumption is 0.07 L km\(^{-1}\). For the remaining 120 km the driver may choose a constant speed \(v\) (km h\(^{-1}\)) with \(80 \le v \le 120\). Fuel consumption on this section is \(f(v)=0.05+0.0002\,(v-80)^{2}\) L km\(^{-1}\). Fuel costs ₦200 per litre and the driver is paid a wage of ₦500 per hour. Determine the speed \(v\) that minimises the total trip cost (fuel + wage) and give that minimum cost in naira.

Answer Options

A. Optimal speed ≈ 90 km h\(^{-1}\); minimum total cost ≈ ₦4 750
Correct Answer B. Optimal speed ≈ 81 km h\(^{-1}\); minimum total cost ≈ ₦4 626
C. Optimal speed ≈ 100 km h\(^{-1}\); minimum total cost ≈ ₦4 900
D. Optimal speed ≈ 85 km h\(^{-1}\); minimum total cost ≈ ₦4 680
Correct Answer
B
Correct Option:
Optimal speed ≈ 81 km h\(^{-1}\); minimum total cost ≈ ₦4 626

About This Question

This is Neco Model Questions Vol1 2025 Geography Question 17. It is one of the objective questions from the 2025 Neco Model Questions Vol1 Geography examination.

Difficulty level: Hard .

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