Question 735210
<pre>
How far out to go,  d

                    SPEED        TIME        DISTANCE
GOING OUT            160         d/160         d
RETURNING            240         d/240         d
SUM                               8
</pre>
{{{d/160+d/240=8}}}



STEPS--------------

Finding smallest denominator to use
2*2*2*2*2*5 and  2*3*2*2*2*5

2^5*5  and 2^4*3*5

common denominator should be 2^5*3*5=480


{{{(3/3)(d/160)+(2/2)(d/240)=8}}}

{{{3d/480+2d/480=8}}}

{{{5d/480=8}}}

{{{d/96=8}}}

{{{d=96*8}}}

{{{highlight(d=768)}}}