Question 202145
Use 2 distance formulas
{{{d = r[1]*t[1]}}}
and
{{{d = r[2]*t[2]}}}
given:
{{{r[1] = 8}}} mi/hr
{{{r[2] = 6}}} mi/hr
{{{t[1] + t[2] = 7/4}}} hr
{{{d = 8*t[1]}}}
{{{d = 6*t[2]}}}
and
{{{t[1] = d/8}}}
{{{t[2] = d/6}}}
{{{t[1] + t[2] = d*(1/8 + 1/6)}}}
{{{7/4 = d*(1/8 + 1/6)}}}
Multiply both sides by n{{{24}}}
{{{42 = d*(3 + 4)}}}
{{{d = 42/7}}}
{{{d = 6}}} mi
The total distance the jogger runs is {{{2d}}}
{{{2d = 12}}} mi answer