Respuesta :
Given data:
* The time for which James walked with u = 4 mph is,
[tex]\begin{gathered} t_1=45\text{ minutes} \\ t_1=45\times60\text{ seconds} \\ t_1=2700\text{ seconds} \end{gathered}[/tex]* The time for which James run with speed v = 10 mph is,
[tex]\begin{gathered} t_2=30\text{ minutes} \\ t_2=30\times60\text{ seconds} \\ t_2=1800\text{ seconds} \end{gathered}[/tex]Solution:
The distance traveled in the first 2700 seconds is,
[tex]d_1=ut_1[/tex]Substituting the known values,
[tex]\begin{gathered} d_1=4\times2700 \\ d_1=10800\text{ miles} \end{gathered}[/tex]The distance traveled by James in the next 1800 seconds is,
[tex]\begin{gathered} d_2=vt_2 \\ d_2=10\times1800 \\ d_2=18000\text{ miles} \end{gathered}[/tex]Thus, the total distance traveled by James is,
[tex]\begin{gathered} D=d_1+d_2 \\ D=10800+18000 \\ D=28800\text{ miles} \end{gathered}[/tex]Thus, the total distance traveled is 28800 miles.
