An executive has an appoint 785 miles from the office The ex

An executive has an appoint 785 miles from the office. The executive takes a helicopter from the office to the airport and a plane from the airport to the business appointment. The helicopter averages 70 mph, and the plane averages 500 mph. The total time spent traveling is 2 hours. Find the distance from the executive

Solution

785=70t+500(2-t)
785=70t+1000-500t
-430t=-215
t=-215/-430
t=.5 or one-half hour was the time in the helicopter.
70*.5=35 miles is the distance from the office to the airport.