SOLUTION: ¿An executive drove from home at an average speed of 40 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at

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Question 1166179: ¿An executive drove from home at an average speed of 40 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 80 mph. The entire distance was 200 mi. The entire trip took 4h. Find the distance from the airport to the corporate offices.?
Answer by ikleyn(52901) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x = the distance from the airport to the corporate office (the value under the question.


Then you have this "time" equation


    x%2F80 + %28200-x%29%2F40 = 4 hours.


To solve it, multiply both sides (all the terms) by 80.  You will get


    x + 2*(200-x) = 320

    x + 400 - 2x  = 320

    -x            = 320-400 = -80

     x                      = 80.


ANSWER.  The distance from the airport to the corporate office is 80 miles.

Solved.