Question
Download Solution PDFA train covers 40 km between two stations in 45 minutes. It covers another 30 km in 30 minutes and the remaining 20 km in 15 minutes. Find the average speed of the train in the whole journey.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFDistance1 = 40 km, Time1 = 45 minutes
Distance2 = 30 km, Time2 = 30 minutes
Distance3 = 20 km, Time3 = 15 minutes
Formula used:
Average Speed = Total Distance / Total Time
Calculations:
Total Distance = 40 km + 30 km + 20 km
⇒ Total Distance = 90 km
Total Time = 45 minutes + 30 minutes + 15 minutes
⇒ Total Time = 90 minutes
Convert Total Time to hours:
⇒ Total Time = 90 / 60 hours
⇒ Total Time = 1.5 hours
Average Speed = Total Distance / Total Time
⇒ Average Speed = 90 km / 1.5 hours
⇒ Average Speed = 60 km/h
∴ The correct answer is option (2).
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