If two bodies A and B start from two opposite ends of a linear track with the speed of X and Y respectively and they take x seconds and y seconds respectively to reach their opposite ends after meeting, then X/Y=[x/y]^1/2 ? How ? Shouldn't that be X/Y=[y/x]^1/2

Question

Pv Aaditya · Accepted Answer

Hi Panicker CATer, yeah it should be the second one.

Let d be the total distance:

d/X - d/(X+Y) = x
d/Y - d/(X+Y) = y

Solving these two equations, we get X/Y = $$\sqrt{y/x}$$

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If two bodies A and B start from two opposite ends of a linear track with the speed of X and Y respectively and they take x seconds and y seconds respectively to reach their opposite ends after meeting, then X/Y=[x/y]^1/2 ? How ? Shouldn't that be X/Y=[y/x]^1/2