Multiple choice

Armaan goes 10 km distance with average speed of 6 km/hr while the rest 20 km he travels with an average speed of 15 km/hr. What is the average speed of Armaan during the whole journey?

  1. 10 km/hr

  2. 12 km/hr

  3. 13 km/hr

  4. 14.5 km/hr
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A Correct answer
Explanation

Average speed = Total distance / Total time. Total distance = 10 + 20 = 30 km. Time 1 = 10/6 = 5/3 hours. Time 2 = 20/15 = 4/3 hours. Total time = 5/3 + 4/3 = 9/3 = 3 hours. Average speed = 30 / 3 = 10 km/hr.

AI explanation

Using the basic speed formula, the total distance of 30 km is divided by the total time taken. The time for the first 10 km at 6 km/hr is 10/6 hours, and the time for the next 20 km at 15 km/hr is 20/15 hours, summing to a total time of 3 hours. Dividing the total distance of 30 km by this total time of 3 hours gives an average speed of 10 km/hr.

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