Question

1. an employee packs \\(\frac{1}{3}\\) of a large box in \\(\frac{3}{8}\\) hour rate, how many large boxes does the employee pack

a \\(\frac{1}{8}\\) large box
b \\(\frac{8}{9}\\) large box
c \\(2\frac{2}{3}\\) large boxes
d 8 large boxes

Explanation:

Step1: Identify the rate formula

To find the number of boxes packed per hour, we use the formula: Rate = Work / Time. Here, work is $\frac{1}{3}$ of a box and time is $\frac{3}{8}$ hour.

Step2: Calculate the rate

Substitute the values into the formula: Rate = $\frac{\frac{1}{3}}{\frac{3}{8}}$. When dividing fractions, we multiply by the reciprocal, so $\frac{1}{3} \times \frac{8}{3} = \frac{8}{9}$? Wait, no, wait. Wait, maybe the question is "how many large boxes does the employee pack in 1 hour?" (assuming the missing part is "in 1 hour"). So let's re - evaluate. If in $\frac{3}{8}$ hour, the employee packs $\frac{1}{3}$ box, then in 1 hour, the number of boxes $x$ is found by proportion: $\frac{\frac{1}{3}}{\frac{3}{8}}=\frac{x}{1}$. Cross - multiply: $x=\frac{1}{3}\div\frac{3}{8}=\frac{1}{3}\times\frac{8}{3}=\frac{8}{9}$? Wait, no, that can't be. Wait, maybe I misread. Wait, the original problem: "An employee packs $\frac{1}{3}$ of a large box in $\frac{3}{8}$ hour. At this rate, how many large boxes does the employee pack in 1 hour?" (assuming the missing text is "in 1 hour"). So the calculation is: Number of boxes per hour = (Boxes packed) / (Time taken). So $\frac{\frac{1}{3}}{\frac{3}{8}}=\frac{1}{3}\times\frac{8}{3}=\frac{8}{9}$? Wait, but let's check the options. Option B is $\frac{8}{9}$ large box. Wait, but maybe I made a mistake. Wait, no, let's do the division correctly. $\frac{1}{3}$ divided by $\frac{3}{8}$ is $\frac{1}{3}\times\frac{8}{3}=\frac{8}{9}$. So the rate is $\frac{8}{9}$ boxes per hour.

Answer:

B. $\frac{8}{9}$ large box