waec model questions vol6 2024 mathematics

Objective Question 23

Question 23 WAEC_MODEL_QUESTIONS_VOL6 • 2024
The time \(t\) (in minutes) required to fill a tank varies directly as the volume \(V\) (in litres) and inversely as the square root of the pressure \(P\) (in kPa). If it takes 12 minutes to fill a 180‑litre tank when the pressure is 25 kPa, find the time needed to fill a 300‑litre tank when the pressure is 40 kPa. Give your answer in simplest exact form.
Answer Options
A. 5\sqrt{2}
B. 5\sqrt{5}
Correct Answer C. 5\sqrt{10}
D. 10\sqrt{10}
Correct Answer
C

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