Question 316607
Rate*Time=Distance
After 1 hour the truck is 40 miles away.
{{{Dtruck=40+40t}}}
{{{Dcar=55t}}}
When the car catches the truck, {{{Dtruck=Dcar}}},
{{{40+40t=55t}}}
{{{15t=40}}}
{{{t=40/15=8/3}}}
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It takes the car {{{8/3}}} hours to catch the truck.
{{{Dcar=55(8/3)=440/3}}} miles or approximately 146.7 miles.