A car covers a distance of 750 km at a constant speed. Had the car increased the speed by 10 kmph, it would have taken 2.5 hours less to cover the same distance. Find the original speed of the car.

  1. A. 50 kmph
  2. B. 40 kmph
  3. C. 75 kmph
  4. D. 60 kmph

Correct Answer: A. 50 kmph

Explanation

Let the original speed be v. We have \frac{750}{v} - \frac{750}{v+10} = 2.5. Testing the options, for v=50, \frac{750}{50} - \frac{750}{60} = 15 - 12.5 = 2.5. The original speed is 50 kmph.

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