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Unilorin Post-UTME Mathematics 2018 (Model questions) Question 44

Question 44

Inequalities

A cyclist rode for 30 minutes at xkm/hr and due to a breakdown he had to push the bike for 2hrs at x − 5km/hr. If the total distance covered is less than 60km, what is the range of the values of x.

  1. A.x < 20
  2. B.x < 29
  3. C.x < 28
  4. D.x < 18
Show the answer and explanation

Answer: C (x < 28)

Explanation

Distance = x/2 + 2(x − 5) < 60, so 5x/2 < 70 and x < 28.