A running man has half the KE that a body of half his mass has. The man speeds up by `1.0ms^(-1)` and then has the same energy as the boy. What were the original speeds of the man and the boy?

Explanation

To solve the problem, we will start by defining the variables and using the kinetic energy formula. The kinetic energy (KE) of an object is given by the formula:

\[ KE = \frac{1}{2} mv^2 \]

where \( m \) is the mass and \( v \) is the velocity.

### Step 1: Define the Variables
Let:
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