SOLUTION: Hello Please help with this average speed question. An executive drove from home at an average speed of 30 mph to an airport where a helicopter was waiting. The executive b

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Question 1183219: Hello
Please help with this average speed question.

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.
Thanks in advance.
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~~~~~~~~~~~~~ 

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  %28150-x%29%2F30  hours.

Time flying is  x%2F60  hours.


The total time equation is


    %28150-x%29%2F30 + x%2F60 = 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.     ANSWER

Solved.