Question 165580
The distance is the same on both trips
{{{d = r[1]*t[1]}}}
{{{d = r[2]*t[2]}}}
{{{r[1] = 500}}}mi/hr
{{{r[2] = 600}}}mi/hr
Also given is
{{{t[2] = t[1] - 50/60}}}hrs
{{{r[1]*t[1] = r[2]*t[2]}}}
{{{500 *t[1] = 600*(t[1] - 5/6)}}}
{{{100t[1] = 500}}}
{{{t[1] = 5}}}hrs
{{{d = 500t[1]}}}
{{{d = 500*5}}}
{{{d = 2500}}}mi
And also
{{{d = 600*(5 - (5/6))}}}
{{{d = 600*(25/6)}}}
{{{d = 2500}}}
It is 2500 mi from Metro City to Farmville