distance between 2 points, 785 mi, 2 hours

Question

donald trump has an appointment 785 miles from his office. he takes a helicopter from trump towers to the airport and a plane from the airport to the business appointment. the helicopter averages 70 mph and the plane averages 500mph. the total time spent traveling is 2 hours. find the distance from trump towers to the airport.

Answer 1

helicopter goes 70 mph for X hours, traveling 70X miles

plane goes 500 mph for (2-X) hours traveling 1000-500 miles

70X + 1000 - 500X = 785

430X = 215

X = 215/430 = 1/2 hour

70X = 35 miles