Question 119410
You have two equations, and both are distance = rate x time.
May's equation:
{{{d[m] = r[m]*t[m]}}}
Leah's equation:
{{{d[l] = r[l]*t[l]}}}
Here is what is given:
{{{d[m] = d[l]}}} km
{{{r[m] = r[l] + 10}}} km/hr
{{{t[m] = 1}}} hr
{{{t[l] = 3}}} hr
Now plug these givens into equations
{{{d[m] = (r[l] + 10)*1}}}
{{{d[l] = r[l]*3}}}
and since {{{d[m] = d[l]}}},
{{{r[l] + 10 = r[l]*3}}}
{{{2*r[l] = 10}}}
{{{r[l] = 5}}} km/hr answer
{{{r[m] = r[l] + 10}}}
{{{r[m] = 5 + 10}}}
{{{r[m] = 15}}} km/hr answer
check answer
{{{d[m] = r[m]*t[m]}}}
{{{d[m] = 15*1}}}
{{{d[m] = 15}}}km
{{{d[l] = r[l]*t[l]}}}
{{{d[l] = 5*3}}}
{{{d[l] = 15}}}km
{{{d[l] = d[m]}}}
OK