Question 1011611
<pre>
                    rate          time         distance

morotcyclist       d/(1&1/2)      1&1/2        d

cyclist            d/2            2            d
</pre>


Compare their rates.
{{{(2/3)d}}} Motorcycle
{{{(1/2)d}}} Cyclist


At what time t was .....
<pre>
                 rate           time        distance   Distance from B
mototcycl        (2/3)d          t          (2/3)dt    d-(2/3)dt
cycl             (1/2)d          t          (1/2)dt    d-((1/2)dt
</pre>
When was cylcist twice as far from B as was motorcyclist?
{{{d-(1/2)dt=2(d-(2/3)dt)}}}
</pre>
That equation uses two unknown variables, d and t; and one of them will be found as factor on both members.


{{{d(1-t/2)=2d(1-2t/3)}}}

{{{1-t/2=2(1-2t/3)}}}

LCD is {{{2*3}}}.

{{{6-3t=2(6-4t)}}}


{{{6-3t=12-8t}}}

{{{6-12=-8t+3t}}}

{{{12-6=8t-3t}}}

{{{6=5t}}}

{{{highlight(t=6/5)}}}
{{{highlight(1&1/5)}}} hours
1 hour 12 minutes