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

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

Pv Aaditya · Answer

Hi Panicker CATer, yeah it should be the second one.
Let d be the total distance:
d/X - d/(X+Y) = xd/Y - d/(X+Y) = y
Solving these two equations, we get X/Y = $$\sqrt{y/x}$$

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

Join CAT 2026 course by 5-Time CAT 100%iler

Download resources