a car moves from x and y with a constant speed of Va and returned from y to x with a constant speed Vb calculate the average speed for the complete travel ??
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Explanation:
We define
Average speed =Distance travelledTime taken=dT
Let t1 and t2 be times taken by the car to go from X to Y and then from Y to X respectively.
Then, t1+t2=[XY/vu]+[XY/vd]=XY(vu+vd/vuvd)
Total distance travelled d=XY+XY=2XY
Therefore, average speed of the car for this round trip is.
Vav=2XYdivide byXY(vu+vd/vuvd) or Vav=2vuvd/vu+vd
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