Chapter 16.5, Problem 5PS

To determine

To find: The ratio of GE and GF.

Answer to Problem 5PS

The ratio of GE and GFis $\frac{4}{11}$ .

Explanation of Solution

Given information:

The given figure is,

  

Assign the ratios and the weights as shown below,

  

The ratio of GE and GFis calculated as,

  $\begin{array}{l}{w}_1\left(GE\right)=w_2\left(GF\right)\\ \left(55\right)\left(GE\right)=\left(20\right)\left(GF\right)\\ \frac{GE}{GF}=\frac{20}{55}\\ \frac{GE}{GF}=\frac{4}{11}\end{array}$

Thus, the ratio of GE and GF is $\frac{4}{11}$ .