Question 1175653
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Informally....<br>
In the 3 hours before the Air Force plane starts, the jet flies a total of 168*3 = 504 miles.<br>
When both planes are flying, the Air Force plane catches up to the jet at a rate of (240-168)=72 mph.<br>
The amount of time required to make up 504 miles at 72mph is 504/72 = 7 hours.<br>
ANSWER: 7 hours<br>
With formal algebra, you end up doing virtually the same calculations:<br>
x = number of hours Air Force plane flies
x+3 = hours the jet flies<br>
The distance the Air Force plane flies in x hours at 240mph is the same as the distance the jet flies in (x+3) hours at 168mph:<br>
{{{240x = 168(x+3)}}}
{{{240x = 168x+504}}}
{{{72x = 504}}}
{{{x = 504/72 = 7}}}<br>
ANSWER: (same as before, of course!): 7 hours<br>