Answer:
Jane's rate is 21.25 mph.
Jack's rate is 41.25mph
Explanation:
Let x represent Jane's speed.
Jack's speed will be x+20.
Their combined speed is;
[tex]x+x+20=2x+20[/tex]After 4 hours, their combined distance covered is 250 miles;
[tex]\begin{gathered} 4(2x+20)=250 \\ 8x+80=250 \end{gathered}[/tex]solving for x;
[tex]\begin{gathered} 8x=250-80 \\ 8x=170 \\ x=\frac{170}{8} \\ x=21.25\text{ mph} \end{gathered}[/tex]Jane's rate is 21.25 mph.
Since jack's rate is 20 mph faster than Jane's rate.
Jack's rate is;
[tex]\begin{gathered} 21.25+20 \\ =41.25\text{mph} \end{gathered}[/tex]Jack's rate is 41.25mph
