Question 1197566

Two cars start from the same point, at 11:05 AM, traveling in opposite directions at 45 and 24 mph, respectively. At what time will they be 460 miles apart?
<pre>In this particular case, you can just DIVIDE the distance that they're eventually apart (460 miles), by the sum of the 2 speeds: ({{{460/(45 + 24)}}})
<font color = red><font size = 4><b><u>OR</font></font></b></u>

Let time it takes for both to be 460 miles apart be T
Then when they're 460 miles apart, the faster and slower cars would've covered 45T and 24T miles, respectively
We then get the following DISTANCE equation: 45T + 24T = 460
                                                   69T = 460
   Time it takes the cars to be 460 miles apart, or {{{matrix(1,11, T, "=", 460/69, "=", 6&2/3, "hours,", or, 6, "hours,", 40, minutes))}}}
6 hours, 40 minutes, from 11:05 a.m. = 17:45, or <font color = red><font size = 4><b>5:45 p.m.</font></font></b>
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It's TOTALLY SILLY and UNNECESSARY to convert {{{matrix(1,2, 6&2/3, hours)}}} to minutes and then back to hours and minutes, as the other person did! 
I hope you'll never do something like that!</pre>