Question
Download Solution PDFThe distance between two cities is 30 km. A man goes at a speed of 30 km per hour and returns at 20 km per hour. What is his average speed?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance between two cities = 30 km.
Speed while going = 30 km/hr.
Speed while returning = 20 km/hr.
Formula Used:
Average speed = Total distance travelled / Total time
Calculation:
Total distance travelled = 30 + 30 = 60 km.
Time taken while going = 30 / 30 = 1 hour.
Time taken while returning = 30 / 20 = \(1\frac{1}{2}\) hour.
Total time = 1 + \(1\frac{1}{2}\) = 2.5 hours.
Average speed = Total distance travelled / Total time
⇒ Average speed = 60 / 2.5
⇒ Average speed = 60 × (1 / 2.5)
⇒ Average speed = 24 km/hr.
The average speed is 24 km/hr.
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