Chapter 7, Problem 102A

To determine

The distance between Pittsburgh and Washington, DC.

Answer to Problem 102A

  $404.25\text{km}$

Explanation of Solution

Given:

The jet left Pittsburgh at $2:20\text{P}\text{.M}\text{.}$

The jet landed Washington, DC at $3:15\text{P}\text{.M}\text{.}$ on the same day.

The average speed of Jet is $s=441.0\text{km/h}$

Formula used:

  $\text{Distance}=\text{Speed}\times \text{Time}$

Calculation:

Time taken by the jet to cover the distance between the cities is,

  $\begin{array}{c}t=3:15\text{P}\text{.M}\text{.}-2:20\text{P}\text{.M}\text{.}\\ =55\min \end{array}$

Then, the distance between the two cities will be,

  $\begin{array}{c}\text{Distance}=\left(\text{441}\text{km/h}\right)\times \left(\text{55 min}\times \frac{1\text{h}}{60\min }\right)\\ =404.25\text{}\text{km}\end{array}$

Conclusion:

Thus, the distance betweenthe two cities is $404.25\text{km}$ .