A person travels 20 km at 12 km/h and the next 35 km at 20 km/h. What is his…

2019

A person travels 20 km at 12 km/h and the next 35 km at 20 km/h. What is his average speed for the whole journey?

  1. A.

    17.6

  2. B.

    17.2

  3. C.

    16.1

  4. D.

    16.4

Attempted by 79 students.

Show answer & explanation

Correct answer: C

Solution: Find the average speed by dividing total distance by total time.

  1. Total distance = 20 km + 35 km = 55 km.

  2. Time for first part = distance/speed = 20/12 = 5/3 hours ≈ 1.6667 hours.

  3. Time for second part = 35/20 = 7/4 hours = 1.75 hours.

  4. Total time = 5/3 + 7/4 = (20 + 21)/12 = 41/12 hours ≈ 3.4167 hours.

  5. Average speed = total distance ÷ total time = 55 ÷ (41/12) = 660/41 ≈ 16.1 km/h.

Answer: 16.1 km/h

Note: Do not use a simple arithmetic mean of the two speeds; the correct approach is total distance divided by total time.

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