A train travels from one station to another station at an average speed of 40km/h and returns back to the first station at an average speed of 60km/h. Find the average speed and average velocity of the train? Ignore the stoppage time at second station.
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Verified answer
Given :
• A train travels from one station to another station at an average speed of 40km/h
• The train returns back to the first station at an average speed of 60km/h.
To Find :
• Average Speed of the train
• Average Velocity of the train
Solution :
Let the Distance between Station A to Station B be x km
After returning of Train Distance will be x + x = 2x km
Till now we've :
• Total Distance = 2x
• Displacement = 0
Now,
Time taken to reach from one station to another by the train :
★ Time = Distance/Speed
→ = x/40 hrs
Time taken to return back at the first station by the train :
★ Time = Distance/Speed
→ = x/60 hrs
Total Time Taken :
→ x/40 + x/60
→ 3x + 2x/120
→ 5x/120
→ x/24 hrs
• Let's find Average Speed First :
★ Average Speed = Total Distance Covered/Total Time Taken
→ 2x/x/24
→ 2x × 24/x
→ 24 × 2
→ 48 km/hr
Average Speed of the train is 48 km/hr
• Let's find Average Velocity now :
★ Average Velocity = Total Displacement Covered/Total Time Taken
→ 0/x/24
→ 0 × 24/x
→ 0/x
→ 0 km/hr
Average Velocity of the train is 0 km/hr.