To find Myesha's rate of mowing in lawns per hour, we can divide the number of lawns mowed by the number of hours it took.
In this case, Myesha mowed 5 lawns in 10 hours. Therefore, her rate of mowing in lawns per hour can be calculated as:

Substituting the given values:

Simplifying the division:

Therefore, Myesha's rate of mowing is 0.5 lawns per hour.