Question

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.

Answer 1

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

`\begin{gathered} \text{Unit Rate=}((5)/(8))/((1)/(2)) \\ =(5)/(8)\ast(2)/(1) \\ =(10)/(8) \\ =1.25 \end{gathered}`

The unit rate of the machine B will be as

`\begin{gathered} \text{Unit Rate=}((2)/(3))/((1)/(3)) \\ =(2)/(3)\ast(3)/(1) \\ =2 \end{gathered}`

Answer:

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