Question
Download Solution PDFA person travels at the speeds of 36 km/h, 30 km/h and 45 km/h on the surface of an equilateral triangular ground. Find his average speed?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed on the first side = 36 km/h
Speed on the second side = 30 km/h
Speed on the third side = 45 km/h
Formula Used:
Average speed = Total distance travelled / Total Time
Calculation:
Let each side of the equilateral triangle be of length d km.
Time taken on the first side = d / 36
Time taken on the second side = d / 30
Time taken on the third side = d / 45
Total Distance = d + d + d = 3d
Total Time = (d / 36) + (d / 30) + (d / 45)
Total Time = d(1/36 + 1/30 + 1/45)
Total Time = d(5/180 + 6/180 + 4/180)
Total Time = d(15/180)
Total Time = d(1/12)
Average Speed = (3d) / (d/12)
Average Speed = (3d × 12) / d
Average Speed = 36 km/h
The average speed is 36 km/h.
Last updated on Jun 7, 2025
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