An executive drove from home at an average speed of 30 mph t

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.

Solution

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.