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?
- A.
17.6
- B.
17.2
- C.
16.1
- 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.
Total distance = 20 km + 35 km = 55 km.
Time for first part = distance/speed = 20/12 = 5/3 hours ≈ 1.6667 hours.
Time for second part = 35/20 = 7/4 hours = 1.75 hours.
Total time = 5/3 + 7/4 = (20 + 21)/12 = 41/12 hours ≈ 3.4167 hours.
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.