WAEC Mathematics 2023 Theory — Question 1
Question 1 of 13 from the West African Examinations Council (WAEC) Mathematics 2023 Theory paper, with the correct answer and a full explanation.
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1(a). A car travels a distance of 112 km at an average speed of 70 km/h. It then travels further 60 km at an average speed of 50 km/h. Calculate the entire journey, the total time taken. 1(b). If x/y=2 and y/z=3, find the value of (x+y)/(y+z).
Model answer
(a) t₁=112/70=1.6hr. t₂=60/50=1.2hr. Total time=1.6+1.2=2.8 hr. (b) Given x/y=2 → x=2y, and y/z=3 → y=3z (so z=y/3). Substituting: (x+y)/(y+z)=(2y+y)/(y+y/3)=3y/(4y/3)=3y×3/4y=9/4.
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