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## Homework Statement

Two astronauts, one of mass 62 kg and the other 85 kg, are initially at rest in outer space.

They then push each other apart. How far apart are they when the lighter astronaut has moved 5.0 m?

## Homework Equations

Conservation of momentum.

Pi = Pf

P1i + P2i = P1f + P2f

## The Attempt at a Solution

Pi = Pf

P1i + P2i = P1f + P2f

(62)(0) + (85)(0) = (62)Vf1 + (85)Vf2

How do I solve for 2 unknowns when you can't cancel the masses out because the masses are different?