The average velocity of Raju over a given time duration is is 12m/s.If he travels the first half of the total time with velocity x m/s and the second half of the total time with velocity 3x m/s, calculate the value of x.
Answers
Given : The average velocity of Raju over a given time duration is is 12m/s.
He travels the first half of the total time with velocity x m/s and the second half of the total time with velocity 3x m/s,
To Find : value of x.
Solution:
The average velocity of Raju over a given time duration is is 12m/s
Let say Time taken for trip = 2t secs
Then distance = 12 * 2t = 24t m
He travels the first half of the total time with velocity x m/s
Distance covered = xt m
second half of the total time with velocity 3x m/s,
Distance covered = 3xt m
xt + 3xt = 24t
=> 4xt = 24t
=> 4x = 24
=> x = 6
Value of x = 6
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