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In a racing competition, Musa covered a distance 5x km in the first hour and (x + 10)km ...

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?
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  • A -1 < x < x < 0
  • B -3 < x < 3
  • C 0 \(\leq\) x < 18
  • D 15 < x < 18
Correct Answer: Option 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

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