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WAEC Mathematics 2017 Theory — Question 2

Question 2 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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1(b) When I walk from my house at 4km/h, I will get to the office 30 minutes later than when I walk at 5km/h. Calculate the distance between my house and office.

Model answer

Let d = distance, t1 = time at 4km/h, t2 = time at 5km/h (t2 = t1 - 30min). d=4t1=5t2. With t1 in hours and the 30-min gap converted consistently, solving 4t=5(t-0.5) gives 4t=5t-2.5, so t=2.5hrs. Distance = 4 x 2.5 = 10km.

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