Respuesta :
Answer:
602.25 miles
Explanation:
• Sydney stayed in Phoenix for 15 hours.
• She returned home 41 hours after leaving.
The total time spent travelling = 41 - 15 = 26 hours
• Let the time she used going to Philadelphia = t
,• Then, the time spent coming back = (26-t) hours
[tex]\text{Distance}=\text{Rate }\times Time[/tex]The average speed from her home in Philadelphia to Phoenix = 55 mi/h.
[tex]\text{Distance}=55t[/tex]The average speed from Phoenix back to Philadelphia = 40 mi/h.
[tex]\text{Distance}=40(26-t)[/tex]Since the distance to and fro is the same, we have:
[tex]\begin{gathered} 55t=40(26-t) \\ 55t=1040-40t \\ 55t+40t=1040 \\ 95t=1040 \\ t=\frac{1040}{95} \\ t\approx10.95\text{ hours} \end{gathered}[/tex]Therefore, the distance of Philadelphia from Phoenix:
[tex]\begin{gathered} D=55t \\ =55\times10.95 \\ =602.25\text{ miles} \end{gathered}[/tex]