In a racing competition, Musa covered a distance 5x km in the first hour and (x + 10)km in the next hour. He was second to Nzozi who covered a total distance of 118km in the two hours. Which of the following inequalities is correct?
A. -1 < x < x < 0 B. -3 < x < 3 C. 0 \(\leq\) x < 18 D. 15 < x < 18
Correct Answer: C
Explanation
Total distance covered by Musa in 2 hrs = x + 10 + 5x = 6x + 10 Ngozi = 118 km If they are equal, 6x + 10 = 118 but 6x + 10 < 118 6x < 108 = x < 18 0 < x < 18 = 0 \(\leq\) x < 18
