Question
Download Solution PDFIf A covers 30% of a distance at 20 km per hour and the remaining distance at 70 km per hour, then the average speed of A is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed for 30% of the distance = 20 km/h
Speed for the remaining 70% of the distance = 70 km/h
Formula Used:
Average speed = Total distance / Total time
Calculation:
Let the total distance = 100 km (for simplicity).
Distance covered at 20 km/h = 30% of 100 = 30 km
Distance covered at 70 km/h = 70% of 100 = 70 km
Time taken to cover 30 km at 20 km/h = Distance / Speed = 30 / 20
Time taken to cover 30 km at 20 km/h = 1.5 hours
Time taken to cover 70 km at 70 km/h = Distance / Speed = 70 / 70
Time taken to cover 70 km at 70 km/h = 1 hour
Total Distance = 30 + 70 = 100 km
Total Time = 1.5 + 1 = 2.5 hours
Average Speed = Total Distance / Total Time
⇒ Average Speed = 100 / 2.5
⇒ Average Speed = 40 km/h
The average speed of A is 40 km/h.
Last updated on Jun 23, 2025
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