Question 976287
<br>
Let t be the number of hours after 9 am.<br>
The distance between the two people is changing at the rate of 60 miles each hour for 1 hour.<br>
The distance between them is changing at the rate of (60+50) = 110 miles each hour for (t-1) hours.<br>
The total distance between them after t hours is 335 miles.<br>
{{{60+110(t-1)=335}}}
{{{60+110t-110=335}}}
{{{110t=385}}}
{{{t=385/110=3.5}}}<br>
The time when the two people are 335 miles apart is 3.5 hours after 9 am, which is 12:30 pm.<br>
ANSWER: 12:30 pm<br>