A car travels equal distances in the same direction with velocities 60 km/hr, 20km/hr and 10 km/hr. what is the average velocity of the car over the whole journey of motion?
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39
Answer:
18km/hr
Explanation:
Assume the equal distance it travels to be x.
Time taken while travelling at 60km/hr=x/60
Time taken while travelling at 20km/hr=x/20
Time taken while travelling at 10km/hr=x/10
Average velocity =total displacement /total time
Since it travels at three speeds covering equal distance, total displacement will be 3x
Average velocity =3x/(x/60+x/20+x/10)
Average velocity =3x/(x+3x+6x/60)
Average velocity =3x/(10x/60)
Average velocity =3x/(x/6)
Average velocity =3x×6/x
Average velocity =18km/hr
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