Question 1191282

Aaron is driving to his friend’s place {{{180km}}} away. 

->{{{d=180km}}}

If he can average a speed that is {{{5(km/h )}}}more than his current speed and then {{{triple }}}that, he will arrive in {{{two}}}{{{ hours}}}.

let  his current speed be {{{x}}}

 average a speed that is {{{5(km/h)}}} more than his current speed will be {{{x+5}}}
 then {{{triple }}}that, and we have  {{{3(x+5)}}}

 he will arrive in two hours, {{{t=2h}}}


a) Using s for his current speed,what equation models this situation?

{{{180=3(x+5)*2}}}

{{{180=(3x+15)*2}}}


(b) Determine Aaron's speed

{{{180=(3x+15)*2}}}......solve for {{{x}}}

{{{90=3x+15}}}

{{{3x=90-15}}}

{{{3x=75}}}

{{{x=75/3}}}

{{{x=25}}}


Aaron's speed is {{{25(km/h)}}}