Multiple choice

Arya completes her journey on a horse to her home in 10 hours. She travels the first half of the journey at the rate of 21 km/hr and the second half at the rate of 24 km/hr. What is total distance that she covered?

  1. 80 km

  2. 112 km

  3. 224 km

  4. 240 km

  5. N/A
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total distance be 2D. Time = D/21 + D/24 = 10. D(24+21)/(21*24) = 10. D(45)/504 = 10. D = 5040/45 = 112. Total distance = 2D = 224 km.

AI explanation

Using the basic Time, Speed and Distance formula, if the total distance is D, the time taken for the first half is (D/2) divided by 21 and the time for the second half is (D/2) divided by 24. The total time is 10 hours, giving the equation (D/42) + (D/48) = 10. Finding a common denominator of 336 gives (8D + 7D) divided by 336 equals 10, which simplifies to 15D = 3360. Solving for D gives a total distance of 224 km.

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