Question 763497


This is a rate/time/distance problem so we will use the following formula:

{{{Rate * Time = Distance}}}

Establish your terms:

Let {{{r }}} be the rate of speed of car {{{A}}}
Let {{{2r}}} be the rate of speed of car {{{B}} (remember, one car is going twice as fast as the other)

Using the formula {{{Rate * Time = Distance}}}

Let {{{5r}} be the distance car {{{A}}} travels after {{{5}}} hours 
Let {{{5(2r) = 10r}}} be the distance car {{{B}}} travels after {{{5}}} hours

Since car {{{B}}} is the faster car it will have travelled farther after {{{5}}} hours so:

Distance car {{{B}}} travels - distance car {{{A}}} travels is equal to {{{275}}}

Using our terms from above:

{{{10r - 5r = 275}}}
{{{5r = 275}}}
{{{r = 55 kph}}} 

and 

{{{2r = 110 kph}}}

Car {{{A}}} is travelling at {{{55kph}}} and car {{{B}}} is tavelling at {{{110kph}}}.