SOLUTION: 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 a

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: 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 a      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 192838: 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.
Answer by bhayzone(8) About Me  (Show Source):
You can put this solution on YOUR website!
Formulate equations.
Dist = rate * time.
D1 = dist from home to airport
D2 = dist from airport to off
D1 + D2 = 150
30*t1 + 60*t2 = 150
t1 + 2t2 = 5 ----- eq 1
Entire trip took 3 hours
t1 + t2 = 3 -------------------- eq 2
Solve eq 1 and 2 and you get
t1 = 1 hour
t2 = 2 hour
D2 = t2*speed2 = 2 * 60 = 120 miles.