Question

Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate.

Answer 1

Answer:

Machine B

Step-by-step explanation:

Since, Machine A covers $\frac{5}{8}$ square feet in $\frac{1}{4}$ hours,

Rate at which the Machine A is covering = $\frac{\frac{5}{8}}{\frac{1}{4}}$

                                                                    = $\frac{5}{8}\times \frac{4}{1}$

                                                                    = 2.5 square feet per hour

Machine B covers $\frac{2}{3}$ square feet in $\frac{1}{5}$ hours,

Rate at which the Machine B is covering = $\frac{\frac{2}{3}}{\frac{1}{5}}$

                                                                    = $\frac{2}{3}\times \frac{5}{1}$

                                                                    = $\frac{10}{3}$

                                                                    = 3.33 square feet per hour

Therefore, Rate of Machine B is greater.