A car travel at x km per hour for 1 hour and at y km
MATHEMATICS
WAEC 1999
A car travel at x km per hour for 1 hour and at y km per hour for 2 hours. Find its average speed
- A. \(\frac{2x + 2y}{3}kmh^{-1}\)
- B. \(\frac{x + y}{3}kmh^{-1}\)
- C. \(\frac{x + 2y}{3}kmh^{-1}\)
- D. \(\frac{2x + y}{3}kmh^{-1}\)
Correct Answer: C. \(\frac{x + 2y}{3}kmh^{-1}\)
Explanation
Travelled x km/h for 1 hour \(\therefore\) traveled x km in the first hour.
Traveled y km/h for 2 hours \(\therefore\) traveled 2y km in the next 2 hours.
Average speed = \(\frac{x + 2y}{1 + 2}\)
= \(\frac{x + 2y}{3} kmh^{-1}\)
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