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 is C

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