Q. A man covers half of his journey at a speed of 6 km/hr and the remaining half at a speed of 3 km/hr. His average speed is:
(A) 3 km/hr
(B) 9 km/hr
(C) 4.5 km/hr
(D) 4 km/hr
Question from UPPSC Prelims CSAT 2024
Correct Answer: (D) 4 km/hr
Explanation:
Average Speed = Total Distance / Total Time
1. First Half:
– Distance: Let’s assume the total distance is 2 km. So, the first half is 1 km.
– Speed: 6 km/hr
– Time = Distance / Speed = 1 / 6 hours ≈ 0.1667 hours
2. Second Half:
– Distance: 1 km
– Speed: 3 km/hr
– Time = 1 / 3 hours ≈ 0.3333 hours
Total Time: 0.1667 + 0.3333 = 0.5 hours
Total Distance: 2 km
Average Speed: 2 / 0.5 = 4 km/hr
Answer: (D) 4 km/hr