Question 178877
Let {{{t}}}= the time on the motorcycle
Let {{{d}}}= the distance travelled on the motorcycle
{{{d/45 + (25 - d)/6 = 2}}}
Multiply both sides by {{{90}}}
{{{2d + 15*(25 - d) = 180}}}
{{{2d + 375 - 15d = 180}}}
{{{13d = 375 - 180}}}
{{{13d = 195}}}
{{{d = 15}}}
The motorcycle went 15 mi before it broke down
check:
{{{d/45 + (25 - d)/6 = 2}}}
{{{15/45 + (25 - 15)/6 = 2}}}
{{{15/45 + 10/6 = 2}}}
{{{2*15 + 10*15 = 2*90}}}
{{{30 + 150 = 180}}}
{{{180 = 180}}}
OK