Multiple choice

A man covers half of total distance by train at 90km/hr , 1/3rd of the remaining by bus at 30km/hr and remaining by cycling at 10km/hr. The what was the average speed during the entire journey in km/hr ?

  1. 22.5

  2. 45

  3. 32.5

  4. 28.6

  5. Can not be determined
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A Correct answer
Explanation

For total distance D, the three portions are D/2, D/6, and D/3. The total time is D/180 + D/180 + D/30 = 2D/45, so the average speed is D/(2D/45) = 22.5 km/hr.

AI explanation

Using the algebraic method, let the total distance be 180 km, meaning the train portion is 90 km, the bus portion is 30 km, and the cycling portion is 60 km. The travel times are 1 hour for the train (90/90), 1 hour for the bus (30/30), and 6 hours for cycling (60/10), giving a total time of 8 hours. Using the formula Average Speed = Total Distance / Total Time, the average speed is 180 / 8 = 22.5 km/hr.

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