Question 766091
The whole distance was some variable, D.
{{{(4/5)D+(1/6)D+5=D}}}
{{{(4/5+1/6)D+5=D}}}
Lowest Denominator is 5*6=30 so multiply left and right by 30.
{{{(30*4/5+30*1/6)D+5*30=30D}}}
{{{(24+5)D+150=30D}}}
{{{29D+150=30D}}}
subtract 29D from both sides.
{{{highlight(150=D)}}}