Answer:
Unit Rate of Machine A = 2.5 square feet per hour
Unit Rate of Machine B = 3.333 square feet per hour.
The unit rate of Machine B is greater than unit rate of machine A.
Step-by-step explanation:
The unit rates for both machines need to be calculated first.
The unit rate will be calculated as:
[tex]Unit\ rate = \frac{Area\ covered}{Time}[/tex]
For Machine A:
Area Covered = 5/8
Time = 1/4
The unit rate will be:
[tex]U_A = \frac{\frac{5}{8} }{\frac{1}{4} } \\Using\ rule => \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a}{b} * \frac{d}{c}\\=\frac{5}{8} * 4 \\= \frac{5}{2} = 2.5\ square\ feet\ per\ hour[/tex]
For Machine B:
Area Covered = 2/3
Time = 1/5
[tex]U_B = \frac{\frac{2}{3}}{\frac{1}{5}}\\= \frac{2}{3} * \frac{5}\\= \frac{10}{3}\\= 3.33...\ square\ feet\ per\ hour[/tex]
As it can be seen that unit rate for Machine B is greater than Unit Rate of Machine A.
Hence,
Unit Rate of Machine A = 2.5 square feet per hour
Unit Rate of Machine B = 3.333 square feet per hour.
The unit rate of Machine B is greater than unit rate of machine A.
