Multiple choice

A man travels a certain distance in 10 hours. He travels the first half of the journey at a rate of 21 km/hr and the second half at a rate of 24 km/hr. Find the total distance covered by him.

  1. 234 km

  2. 230 km

  3. 224 km

  4. 220 km

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the total distance be 2d. The time taken for the first half is d/21 and the second half is d/24. Given d/21 + d/24 = 10, we find 15d/168 = 10, which simplifies to d = 112. The total distance is 2d = 224 km.

AI explanation

Using the average speed formula for equal distances, we calculate 2 times 21 times 24 divided by the sum of 21 and 24, giving an average speed of 1008 divided by 45 km/hr. Since the total time is 10 hours, the total distance is average speed multiplied by time. This gives 10080 divided by 45, which equals 224 km.

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