SOLUTION: a particle tarvels ist X meter with speed Vm/s, next 2xm with speed 2v m/s next 3x m with speed 3vm/s. the average speed of particle is?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a particle tarvels ist X meter with speed Vm/s, next 2xm with speed 2v m/s next 3x m with speed 3vm/s. the average speed of particle is?       Log On

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Question 1063034: a particle tarvels ist X meter with speed Vm/s, next 2xm with speed 2v m/s next 3x m with speed 3vm/s. the average speed of particle is?
Answer by ikleyn(52908) About Me  (Show Source):
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a particle tarvels highlight%28cross%28ist%29%29 first X meter with speed V m/s; next 2x m with speed 2v m/s; next 3x m with speed 3vm/s. the average speed of particle is?
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The total distance = X + 2X + 3X = 6X.


The total time = X%2FV+%2B+%282X%29%2F%282V%29+%2B+%283X%29%2F%283V%29 = X%2FV+%2B+X%2FV+%2B+X%2FV = %283X%29%2FV%29.


The average speed = Total_distance%2FTotal_time = %286X%29%2F%28%28%283X%29%2FV%29%29 = 2V.

Answer. The average speed is 2V.