William plans to take $$16$$ days to drive to New York City from his home. However, since there is heavy traffic, he drives $$20$$ miles less each day and arrives in New York City $$8$$ days later than his plan. What is the distance between William\textquotesingle s home and New York City? 
Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road
We set up an equation in terms of $d$ as the distance and $x$ as the speed in miles per day originally. We have  $d=16x=24(x-20)$  $16x=24x-480$  $480=8x$  $x=60$  Thus, the distance between William\textquotesingle s home and New York City is $60\times16=960$ miles. 