Question 212218
Write an equation for each person
{{{d[m] = r[m]*t[m]}}}
and
{{{d[l] = r[l]*t[l]}}}
given:
{{{d[m] = d[l]}}} km (call them both {{{d}}}
{{{r[m] = r[l] + 10}}} km/hr
{{{t[m] = 1}}} hr
{{{t[l] = 3}}} hr
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Now rewrite the equations
{{{d = (r[l] + 10)*1}}}
and
{{{d = r[l]*3}}}
Set the 2 d's equal to eachother
{{{r[l] + 10 = 3r[l]}}}
{{{2r[l] = 10}}}
{{{r[l] = 5}}} km/hr
and
{{{r[m] = r[l] + 10}}} km/hr
{{{r[m] = 5 + 10}}}
{{{r[m] = 15}}} km/hr
Leah travels 5 km/hr and May travels 15 km/hr
check:
{{{d = (r[l] + 10)*1}}}
{{{d = (5+10)*1}}}
{{{d = 15}}} km
and
{{{d = r[l]*3}}}
{{{d = 5*3}}}
{{{d = 15}}} km
OK