Chapter 6.5, Problem 27PPS

To determine

To write a proportion and solve for unknown variable in

s inches in 0.54 hour

4.55 inches in 1.89 hours

Answer to Problem 27PPS

1.3

Explanation of Solution

Given:

s inches in 0.54 hour

4.55 inches in 1.89 hours

Calculation:

Writing a proportion,

  $\begin{array}{l}\Rightarrow \frac{s\text{inches}}{4.55\text{inches}}=\frac{0.54\text{hour}}{1.89\text{hours}}\\ \Rightarrow \frac{s}{4.55}=\frac{0.54}{1.89}\\ \Rightarrow s\times 1.89=0.54\times 4.55[\because \text{Performing cross multiplication}]\\ \Rightarrow 1.89s=2.457\\ \Rightarrow s=\frac{2.457}{1.89}\\ \Rightarrow s=1.3\end{array}$

Conclusion:

Therefore, the value of s is equal to 1.3.