Question 310791
Going to lake:
{{{d = r[1]*t[1]}}}
Returning from lake:
{{{d = r[2]*t[2]}}}
given:
{{{r[1] = 12}}} mi/hr
{{{r[2] = 10}}} mi/hr
{{{t[1] + t[2] = 5.5}}} hrs
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Going to lake:
{{{d = 12*t[1]}}}
Returning:
{{{d = 10*(5.5 - t[1])}}}
I can set the right sides equal to eachother
{{{12t[1] = 55 - 10t[1]}}}
{{{22t[1] = 55}}}
{{{t[1] = 2.5}}} hrs
{{{t[2] = 5.5 - 2.5}}} hrs
{{{t[2] = 3}}} hrs
The return trip takes 3 hrs