Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate.Machine A covers 5/8 square feet in 1/2 hour or Machine B covers 2/3 square feet in 1/3 hour.

Respuesta :

Given:

Machine A covers 5/8 square feet in 1/2 hour.

Machine B covers 2/3 square feet in 1/3 hour.

Solution:

The unit rate of the machine A will be as

[tex]\begin{gathered} \text{Unit Rate=}\frac{\frac{5}{8}}{\frac{1}{2}} \\ =\frac{5}{8}\ast\frac{2}{1} \\ =\frac{10}{8} \\ =1.25 \end{gathered}[/tex]

The unit rate of the machine B will be as

[tex]\begin{gathered} \text{Unit Rate=}\frac{\frac{2}{3}}{\frac{1}{3}} \\ =\frac{2}{3}\ast\frac{3}{1} \\ =2 \end{gathered}[/tex]

Answer:

Hence, the unit rate of the machine B is greater.