Multiple choice

Mr. Kumar drives to work at an average speed of 48 km per hour. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

  1. $30 \ km$
  2. $40 \ km$
  3. $45 \ km$
  4. $48 \ km$
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B Correct answer
Explanation

Let total distance be D. Time for 60% is 0.6D/48. Time for 40% is 0.4D/48. The difference is 0.2D/48 = 10/60 hours. 0.2D = 8. D = 40 km.

AI explanation

Let the total distance be D, making the first part 0.6D and the second part 0.4D. Using the formula Time equals Distance divided by Speed, the time difference equation is (0.6D divided by 48) minus (0.4D divided by 48) equals 10 divided by 60 hours. This simplifies to 0.2D divided by 48 equals 1/6, and multiplying both sides by 48 gives 0.2D equals 8. Dividing 8 by 0.2 gives the total distance of 40 km.

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