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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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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 hours.
Time flying is hours.
The total time equation is
+ = 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.