The skaters are pushing each other, find the ratio of their speed?

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Two skaters with masses of 55 kg and 75 kg push off each other and move in opposite directions. To find the ratio of their speeds, the principle of conservation of momentum is applicable. The total momentum before and after the push must remain constant, implying that the momentum gained by one skater is equal to the momentum lost by the other. The kinetic energy formula, KE=0.5*m*v^2, is referenced but not directly applied in the solution attempt. The discussion highlights the need for a clearer understanding of momentum conservation to solve the problem effectively.
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Homework Statement



Two skaters stand face to face. Skater 1 has a mass of 55 kg, and skater 2 has a mass of 75 kg. They push off one another and move in opposite directions. What is the ratio of skater 1's speed to skater 2's speed?


Homework Equations



KE=0.5*m*v^2


The Attempt at a Solution



Maybe the information in the problem is not enough... :( i don't know
 
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