Answer:
Explanation:
Given
distance traveled by Passenger train is [tex]d_1=392\ mi[/tex]
distance traveled by Freight train is [tex]d_2=322\ mi[/tex]
Both take same time to travel
suppose speed of freight train is x mph
so speed of passenger train is 20+x mph
we know time[tex]=\frac{distance}{speed}[/tex]
[tex]t=\frac{392}{20+x}=\frac{322}{x}[/tex]
[tex]392x=322x+322\times 20[/tex]
[tex]70x=322\times 20[/tex]
[tex]x=92\ mph[/tex]
speed of passenger train [tex]x+20=112\ mph[/tex]
