Multiple choice

If Anita traveled by car at 80 km/hr instead of 35 km/hr, she would have covered 25 kilometers more in the same time. So, find out the actual distance covered by Anita.

  1. 19.44 km

  2. 49.07 km

  3. 20 km

  4. 26.75 km

  5. 31.3 km
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A Correct answer
Explanation

Let t be the time in hours. The distance is 80t = 35t + 25, which simplifies to 45t = 25, so t = 25/45 = 5/9 hours. The actual distance covered is 35 * (5/9) = 175/9, which is approximately 19.44 km.

AI explanation

Using the speed formula, let the actual time taken be t hours, making the actual distance 35t kilometers. If she traveled at 80 km/hr, the distance would be 80t kilometers. According to the problem, the difference between the two distances is 25 km, so 80t minus 35t equals 25. Solving this gives 45t equals 25, which means t equals 25 divided by 45, or five-ninths of an hour. The actual distance covered is 35 multiplied by five-ninths, which equals 19.44 km.

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