Multiple choice

If the time taken to travel a distance of $15$m is two less than the speed, what will be the resulting equation?

  1. $x^2 -2x - 15 = 0$
  2. $x^2 + 3x - 15 = 0$
  3. $x^2 - 4x + 30 = 0$
  4. $x^2 + 5x +15 = 0$
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A Correct answer
Explanation

Time = Distance / Speed. Given distance = 15, let speed = x. Time = 15 / x. The problem states time is two less than speed: 15 / x = x - 2. Multiplying by x gives 15 = x^2 - 2x, which rearranges to x^2 - 2x - 15 = 0.

AI explanation

Assuming speed is x m/s, the time is 15/x. The condition given is 15/x equals x minus 2. Multiplying both sides by x gives 15 equals x squared minus 2x. This rearranges to x squared minus 2x minus 15 equals 0.

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