Multiple choice

Directions: Solve the following question and mark the best possible option. On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was

  1. 10 km/h

  2. 30 km/h

  3. 5 km/h

  4. 20 km/h

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Average speed = Total Distance / Total Time. Let distance be 100 km. Time = (20/10) + (60/30) + (20/20) = 2 + 2 + 1 = 5 hours. Average speed = 100 / 5 = 20 km/h.

AI explanation

To find the average speed for the whole journey, use the formula Average Speed equals Total Distance divided by Total Time. Assume a total distance of 100 km, meaning the bus travels 20 km at 10 km/h, 60 km at 30 km/h, and 20 km at 20 km/h. The total time is calculated as 20 divided by 10 plus 60 divided by 30 plus 20 divided by 20, which equals 2 hours plus 2 hours plus 1 hour, for a total of 5 hours. The average speed is 100 km divided by 5 hours, which is 20 km/h.