Question 416339
Equation for downhill:
{{{d =( r+ 8)*(20/60)}}}
Uphill:
{{{d = r*(30/60)}}}
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This is 2 equations and 2 unknowns, so it's solvable
The d's are the same, so
{{{(r + 8)*(1/3) = (1/2)*r}}}
{{{ (1/3)*r + 8/3 = (1/2)*r }}}
The LCD is {{{6}}}
{{{ 2r + 16 = 3r}}}
{{{r = 16}}} mi/hr
Now find {{{d}}}
{{{d = (1/2)*r}}}
{{{d = (1/2)*16}}}
{{{d = 8}}}
She lives 8 mi from the library