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WAEC Mathematics 2024 Theory — Question 1

Question 1 of 13 from the West African Examinations Council (WAEC) Mathematics 2024 Theory paper, with the correct answer and a full explanation.

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1. The time (t) taken to buy fuel at a filling station varies directly as the number of vehicles (V) in a queue and varies inversely as the number of pumps (P) available at the station. In a station with 5 pumps, it took 10 minutes to fuel 20 vehicles. Find the: (a) relationship between t, P and V; (b) time it takes to fuel 50 vehicles at a station with 2 pumps; (c) number of pumps required to fuel 40 vehicles in 20 minutes.

Model answer

(a) t = 5V/2P (b) t = 62.5 minutes (c) P = 5 pumps

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