Question

13. If four postal clerks require 60 minutes to sort 1,200 letters, how many letters can tenclerks sort in 8 hours?Answer

Answer 1

We must first find the equation that describes the problem:

• P = postal clerks

,

• T = time

,

• L = Letters

$60\min \to1hour$$\begin{gathered} P\cdot T\cdot C=L \\ \end{gathered}$

Where C is a constant of proportionality. Then we use the initial values to calculate C

$\begin{gathered} P=4 \\ T=1 \\ L=1200 \\ (4)\cdot(1)\cdot C=1200 \\ C=\frac{1200}{4} \\ C=300 \end{gathered}$

The equation that will help us to calculate the number of letters is

$300\cdot T\cdot P=L$

We replace the values of the number of people and the time they had_

$\begin{gathered} 300\cdot(10)\cdot(8)=L \\ L=24000 \end{gathered}$