Question
Download Solution PDFThe distance between two stations A and B is 800 km. A train covers the journey from A to B at a speed of 90 km/h and returns to A with a uniform speed of 65 km/h. Find the average speed of train during the whole journey (in km/h)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The distance between two stations A and B is 800 km.
A train covers the journey from A to B at a speed of 90 km/h and returns to A with a uniform speed of 65 km/h.
Formula used:
Average Speed = Total Distance / Total Time
Calculation:
Distance from A to B = 800 km
Speed from A to B = 90 km/h
Time from A to B = Distance / Speed = 800 / 90 hours
⇒ Time from A to B = 8.89 hours
Distance from B to A = 800 km
Speed from B to A = 65 km/h
Time from B to A = Distance / Speed = 800 / 65 hours
⇒ Time from B to A = 12.31 hours
Total Distance = 800 km + 800 km = 1600 km
Total Time = 8.89 hours + 12.31 hours = 21.2 hours
Average Speed = Total Distance / Total Time
⇒ Average Speed = 1600 km / 21.2 hours
⇒ Average Speed = 75.48 km/h
∴ The correct answer is option 1.
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