Question
Download Solution PDFR reaches office from home in 30 minutes and comes back in 20 minutes. The distance to his office from home is 12.5 km. What is his average speed (in km/h) from home to office and then back home?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance from home to office = 12.5 km
Time taken from home to office = 30 minutes
Time taken from office to home = 20 minutes
Formula Used:
Average speed = Total distance travelled / Total time taken
Calculation:
Total distance = Distance from home to office + Distance from office to home
Total distance = 12.5 km + 12.5 km = 25 km
Total time = Time taken from home to office + Time taken from office to home
Total time = 30 min + 20 min = 50 min
Total time in hours = 50 / 60 = \(\frac{5}{6}\) hours
Average speed = Total distance / Total time
⇒ Average speed = 25 km / \(\frac{5}{6}\) hours
⇒ Average speed = 25 km × \(\frac{6}{5}\) hours
⇒ Average speed = 30 km/h
The average speed from home to office and then back home is 30 km/h.
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