Question
Download Solution PDFR runs for 10 hours at speeds of 10 km/h, 9 km/h,....,1 km/h, respectively, in the first hour, second hour, and so on. His average speed is _______ km/h.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Running times = [1 hour for each of 10 hours]
Speeds = [10, 9, 8, 7, 6, 5, 4, 3, 2, 1] km/h
Concept:
Average speed = Total distance/Total time
Calculation:
⇒ Total time = 10 hours
⇒ Total distance = sum of distances in each hour
⇒ sum of (speed × time) for each hour
⇒ 10 × 1 + 9 × 1 + ... + 1 × 1 = 55 km
⇒ Average speed = 55 km/10 hours = 5.5 km/h
Therefore, R's average speed is 5.5 km/h.
Last updated on Jul 8, 2025
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