1. John and William leave their home traveling in opposite directions on a straight road. John drives20 miles per hour faster than William. After 4 hours they are 240 miles apart. Find both of theirrates.

Respuesta :

we have the following:

John's rate = x mph

William's rate = x -20 mph

[tex]\begin{gathered} v=\frac{d}{t} \\ d=d\cdot t \\ d=x+x-20=2x-20 \\ t=4 \end{gathered}[/tex]

d = d, therefore:

[tex]\begin{gathered} 4\cdot(2x-20)=240 \\ 8x-80=240 \\ 8x=240+80 \\ x=\frac{320}{8} \\ x=40 \end{gathered}[/tex]

John's rate = 40 mph

Willams's rate = 40 - 20 = 20 mph