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WAEC Mathematics 2017 Theory — Question 20

Question 20 of 25 from the West African Examinations Council (WAEC) Mathematics 2017 Theory paper, with the correct answer and a full explanation.

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11(a) It takes 8 students two-thirds of an hour to fill 12 tanks with water. How many tanks of water will 4 students fill in one-third of an hour at the same rate?

Model answer

8 students fill 12 tanks in 40 minutes (2/3 hr). In 40 min, 1 student fills 12/8 tanks; so 4 students fill (4x12)/8=6 tanks in 40 min. In 20 min (1/3 hr), 4 students fill half that amount: (4x12x20)/(8x40) = 3 tanks.

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