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

Mathematics
JAMB 1984

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
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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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