Question
Download Solution PDFWhat is the average speed of a man who travels between two cities, covering 60% of the distance in 45 minutes and the remaining distance in 55 minutes, where the total distance between the cities is 80 km?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total distance = 80 km
Distance covered in first part = 60% of 80 km = 0.6 × 80 = 48 km
Time taken for first part = 45 minutes = 45/60 hours = 0.75 hours
Distance covered in second part = 80 km - 48 km = 32 km
Time taken for second part = 55 minutes = 55/60 hours ≈ 0.9167 hours
Formula used:
Average speed = Total distance / Total time
Calculations:
Total distance = 80 km
Total time = 0.75 hours + 0.9167 hours ≈ 1.6667 hours
⇒ Average speed = 80 km / 1.6667 hours
⇒ Average speed ≈ 48 km/h
∴ The correct answer is option (1).
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