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. 
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? 
[1] $$480$$ miles 
[2] $$1080$$ miles 
[3] $$960$$ miles 
[4] $$720$$ miles 
[5] $$1200$$ miles 