WAEC Mathematics 2021 Question 33

Question 33

Linear and Simultaneous Equations

A cyclist moved at a speed of X km/h for 2 hours. He then increased his speed by 2 km/h for the next 3 hours. If the total distance covered is 36 km, calculate his intial speed, X.

  1. A.12 km/h
  2. B.3 km/h
  3. C.4 km/h
  4. D.6 km/h
Show the answer and explanation

Answer: D (6 km/h)

Explanation

Distance = 2X + 3(X + 2) = 5X + 6 = 36, so X = 6 km/h.