Multiple choice

A person covered 100 km at 20 km/hr, next 120 km at 30 km/hr, next 150 km at 50 km/hr and next 200 km at 40 km/hr. Find the average speed of the person for the whole journey.

  1. 36.55 km/hr

  2. 33.53 km/hr

  3. 42.65 km/hr

  4. 48.67 km/hr

  5. 41.54 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed = Total distance / Total time. Total distance = 100 + 120 + 150 + 200 = 570 km. Total time = 100/20 + 120/30 + 150/50 + 200/40 = 5 + 4 + 3 + 5 = 17 hours. Average speed = 570 / 17 = 33.529 km/hr.

AI explanation

Using the formula for average speed, which is total distance divided by total time, we first find the total distance is 100 plus 120 plus 150 plus 200, equaling 570 km. The time taken for each segment is 5 hours, 4 hours, 3 hours, and 5 hours, making the total time 17 hours. Dividing the total distance of 570 km by the total time of 17 hours gives the average speed of 33.53 km/hr.

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