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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32384)