Question

The ratio of the average velocity of a train during a journey to the maximum velocity between two
stations is
A) = 1
B) >1 C) <1
D)> or <1
​

Answer 1

The ratio of the average velocity of a train during a journey to the maximum velocity between two  stations is < 1

Therefore, option (C) is correct.

Step-by-step explanation:

To find out:

The ratio of the average velocity of a train between two stations

Solution:

• The train will start with velocity zero on one station and end with velocity zero on another station.

• In between these two stations, somewhere the velocity will be maximum

• If the average velocity is $v_{avg}$

• And, if the maximum velocity if $v_{max}$

• The maximum velocity will always be greater than the average velocity

• Thus,

• $\frac{v_{avg}}{v_{max}}<1$

• Therefore, option (C) is correct.

Hope this answer is helpful.

Know More:

Q: Between two stations a train accelerates uniformly at first then moves with constant velocity and finally retards uniformly if the ratio of the time taken by 1 ratio 8 ratio 1 and the max speed attained be 60 kmph then what is the average speed over the whole journey .

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