Answer:
[tex]Speed\ of\ cars\ are\ 45\ mph\ and\ 53\ mph[/tex]
Step-by-step explanation:
[tex]Let\ speed\ of\ one\ car\ is=x\ mph\\\\Speed\ of\ other\ car=x+8\ mph[/tex]
[tex]Distance=speed\times time[/tex]
Distance covered by first car:
[tex]time=5\ hours\\\\speed=x\ mph\\\\distance=speed\times time=5\times x=5x[/tex]
Distance covered by second car:
[tex]time=5\ hours\\\\speed=x+8\ mph\\\\distance=(x+8)\times 5=5x+40[/tex]
Total distance:
[tex]Total\ distance\ covered=490\ miles\\\\Total\ distance=distance\ covered\ by\ car\ 1+distance\ covered\ by\ car\ 2\\\\5x+5x+40=490\\\\10x=490-40\\\\10x=450\\\\x=45\ mph\\\\x+8=45+8=53\ mph\\\\Speed\ of\ cars\ are\ 45\ mph\ and\ 53\ mph.[/tex]
