Monkey or Weight: Which Will Reach the Top First?

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In a scenario where a monkey climbs a rope while a weight hangs on the other side, the outcome hinges on the tension created by the monkey's movements. As the monkey climbs, it increases the tension in the rope, which momentarily affects the system. However, since the center of mass of the monkey and weight system remains constant, neither the monkey nor the weight can gain an advantage to reach the top first. The conclusion is that the monkey will not reach the top before the weight does, due to the balance of forces in the system. Understanding these dynamics is crucial for solving such physics problems.
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A rope hangs over a pulley. On one side a weight is tied. The weight is resting on ground when a monkey of equal weight starts climbing up the other side of the rope. Will the monkey reach the top first or the weight? Assume the rope and pulley to be lossless and the rope weightless.
 
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Well, what's your guess, and why?

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Consider 2 things:
1) when the monkey pulls on the rope he momentarily increases the
tension in the rope.

2) since no external forces act on the system of monkey and weight
the center of mass of the two cannot be raised or lowered.
 

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