Answer:
2.5 times faster
Step-by-step explanation:
The cost per hour of method 1 is $25, while the cost per hour of method 2 is $10. In order for method 1 to be the better method, it must have a productivity, in units per dollar, that is equal or greater than the productivity of method 2:
[tex]A\frac{units}{hour} *\frac{hour}{\$25} \geq B\frac{units}{hour} *\frac{hour}{\$10}\\0.04A\geq 0.1B\\A \geq 2.5 B[/tex]
The productivity A of method 1, in units per hour, must be 2.5 times greater than the productivity of method 2, which means that method 1 needs to be 2.5 times faster than method (2) to be the better method.