Question

An executive drove 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 3 hours Find the distance from the airport to the corporate office. ANSWER:

Answer 1

120 miles

Explanation:

Formulate equations.

Distance = rate * time.

D1 = distance from home to airport

D2 = distance from airport to off

D1 + D2 = 150

30 x t1 + 60 x t2 = 150

Divide through by 30

t1 + 2t2 = 5 ----- equation 1

Entire trip took 3 hours

t1 + t2 = 3 -------------------- equation 2

Solve equation 1 and 2 and you get

t1 = 1 hour

t2 = 2 hour

D2 = t2 x speed = 2 x 60

= 120 miles.