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As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and comes back to the starting point at 75 km/h. The average s
Question

As part of his journey, a person travels 120 km at 80 km/h, the next 100 km at 40 km/h, and comes back to the starting point at 75 km/h. The average speed of the person throughout the journey (approximately) is:

A.

63.46 km/h

B.

58.74 km/h

C.

68.15 km/h

D.

49.58 km/h

Correct option is A

Given:
The person travels 120 km at 80 km/h, 100 km at 40 km/h, and returns 220 km at 75 km/h.
Formula Used:
Average Speed = Total DistanceTotal Time\frac{\text{Total Distance}}{\text{Total Time}}​​
Solution:
Total Distance = 120 + 100 + 220 = 440 km
Time for first part = 12080\frac{120}{ 80}​ = 1.5 hours
Time for second part = 10040\frac{100}{ 40}​ = 2.5 hours
Time for return =22075 \frac{220}{ 75}​ ≈ 2.93 hours
Total Time ≈ 1.5 + 2.5 + 2.93 ≈ 6.93 hours
Average Speed ≈4406.93 \frac{440}{ 6.93}​ ≈ 63.5 km/h

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