Question 118598
Mindy's time: {{{5}}}hrs
Kelly's time: {{{6}}}hrs
The distance is the same for both of them
{{{d = r[m]*t[m]}}} for Mindy
{{{d = r[k]*t[k]}}} for kelly
{{{r[m]*t[m] = r[k]*t[k]}}}
{{{r[m]*5 = (r[m] - 10)*6}}}
{{{r[m]*5 = r[m]*6 - 60}}}
{{{r[m] = 60}}} mi/hr
{{{r[k] = r[m] - 10}}}
{{{r[k] = 60 - 10}}}
{{{r[k] = 50}}} mi/hr
{{{d = r[m]*t[m]}}} for Mindy
{{{d = 60*5}}}
{{{d = 300}}}mi
{{{d = r[k]*t[k]}}} for kelly
{{{d = 50*6}}}
{{{d = 300}}}mi
Both ways of finding {{{d}}} agree, so
distance is 300 miles