Question 280471
Let  her time for hiking in hours = {{{t}}}
and also her time for rafting = {{{t}}}
Let distance hiking in miles = {{{d[h]}}}
Let distance rafting in miles  = {{{d[r]}}}
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given:
{{{d[h] = 3t}}}
{{{d[r] = 2.5t}}}
{{{d[h] = d[r] + 3}}}
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By substitution:
{{{d[r] + 3 = 3t}}}
{{{d[r] = 2.5t}}}
By substitution again:
{{{2.5t + 3 = 3t}}}
{{{.5t = 3}}}
{{{t = 6}}}
And, since
{{{d[h] = 3t}}}
{{{d[h] = 3*6}}}
{{{d[h] = 18}}}
She hiked 18 miles