Question 1183219
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An executive drove from home at an average speed of 30 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 60 mph. 
The entire distance was 150 miles; the entire trip took three hours.
Find the distance from the airport to the corporate offices.
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<pre>
Let x be the distance from the airport to the corporate office (in miles).

Then the distance from home to the airport is  (150-x) miles.


Time driving is  {{{(150-x)/30}}}  hours.

Time flying is  {{{x/60}}}  hours.


The total time equation is


    {{{(150-x)/30}}} + {{{x/60}}} = 3  hours.


To solve, multiply both sides by 60. You will get


    2*(150-x) + x = 3*60

    300 - 2x + x = 180

     300 - 180   = 2x - x

        120      = x.


The problem is just solved.


The distance from the airport to the corporate office is 120 miles.     <U>ANSWER</U>
</pre>

Solved.